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149539680 = 25325113919
BaseRepresentation
bin10001110100111…
…00101101100000
3101102101101212200
420322130231200
5301240232210
622501053200
73464031513
oct1072345540
9342341780
10149539680
1177458414
12420b7200
1324c9a524
1415c08d7a
15d1dd0c0
hex8e9cb60

149539680 has 144 divisors (see below), whose sum is σ = 515380320. Its totient is φ = 39481344.

The previous prime is 149539661. The next prime is 149539711. The reversal of 149539680 is 86935941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162261 + ... + 163179.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030).

Almost surely, 2149539680 is an apocalyptic number.

149539680 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 149539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257690160).

149539680 is an abundant number, since it is smaller than the sum of its proper divisors (365840640).

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

149539680 is a wasteful number, since it uses less digits than its factorization.

149539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149539680 is about 12228.6417888497. The cubic root of 149539680 is about 530.7852132263.

The spelling of 149539680 in words is "one hundred forty-nine million, five hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 904 919 1017 1130 1356 1440 1695 1808 1838 2034 2260 2712 2757 3390 3616 3676 4068 4520 4595 5085 5424 5514 6780 7352 8136 8271 9040 9190 10170 10848 11028 13560 13785 14704 16272 16542 18080 18380 20340 22056 27120 27570 29408 32544 33084 36760 40680 41355 44112 54240 55140 66168 73520 81360 82710 88224 103847 110280 132336 147040 162720 165420 207694 220560 264672 311541 330840 415388 441120 519235 623082 661680 830776 934623 1038470 1246164 1323360 1557705 1661552 1869246 2076940 2492328 3115410 3323104 3738492 4153880 4673115 4984656 6230820 7476984 8307760 9346230 9969312 12461640 14953968 16615520 18692460 24923280 29907936 37384920 49846560 74769840 149539680