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157134786840 = 23345193251287
BaseRepresentation
bin1001001001010111110…
…1101001000100011000
3120000120222211020110000
42102111331221010120
510033303001134330
6200104155453000
714231642436033
oct2222575510430
9500528736400
10157134786840
11607055440a9
1226554157160
1311a82788915
14786919601a
15414a170560
hex2495f69118

157134786840 has 160 divisors (see below), whose sum is σ = 530886106080. Its totient is φ = 41685331968.

The previous prime is 157134786791. The next prime is 157134786859. The reversal of 157134786840 is 48687431751.

157134786840 is a `hidden beast` number, since 1 + 5 + 71 + 3 + 478 + 68 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 499677 + ... + 750963.

It is an arithmetic number, because the mean of its divisors is an integer number (3318038163).

Almost surely, 2157134786840 is an apocalyptic number.

157134786840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157134786840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265443053040).

157134786840 is an abundant number, since it is smaller than the sum of its proper divisors (373751319240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157134786840 is a wasteful number, since it uses less digits than its factorization.

157134786840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251503 (or 251490 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 157134786840 in words is "one hundred fifty-seven billion, one hundred thirty-four million, seven hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 193 216 270 324 360 386 405 540 579 648 772 810 965 1080 1158 1544 1620 1737 1930 2316 2895 3240 3474 3860 4632 5211 5790 6948 7720 8685 10422 11580 13896 15633 17370 20844 23160 26055 31266 34740 41688 52110 62532 69480 78165 104220 125064 156330 208440 251287 312660 502574 625320 753861 1005148 1256435 1507722 2010296 2261583 2512870 3015444 3769305 4523166 5025740 6030888 6784749 7538610 9046332 10051480 11307915 13569498 15077220 18092664 20354247 22615830 27138996 30154440 33923745 40708494 45231660 48498391 54277992 67847490 81416988 90463320 96996782 101771235 135694980 145495173 162833976 193993564 203542470 242491955 271389960 290990346 387987128 407084940 436485519 484983910 581980692 727475865 814169880 872971038 969967820 1163961384 1309456557 1454951730 1745942076 1939935640 2182427595 2618913114 2909903460 3491884152 3928369671 4364855190 5237826228 5819806920 6547282785 7856739342 8729710380 10475652456 13094565570 15713478684 17459420760 19641848355 26189131140 31426957368 39283696710 52378262280 78567393420 157134786840