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136195696 = 2473132383
BaseRepresentation
bin10000001111000…
…10111001110000
3100111021110101001
420013202321300
5234331230241
621303051344
73242434000
oct1007427160
9314243331
10136195696
116a97392a
1239740b54
13222a7890
1414134000
15be54431
hex81e2e70

136195696 has 160 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 50916096.

The previous prime is 136195693. The next prime is 136195711. The reversal of 136195696 is 696591631.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136195691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640871 + ... + 1640953.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2136195696 is an apocalyptic number.

136195696 is a gapful number since it is divisible by the number (16) 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 136195696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

136195696 is an abundant number, since it is smaller than the sum of its proper divisors (213781904).

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

136195696 is a wasteful number, since it uses less digits than its factorization.

136195696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its digits is 262440, while the sum is 46.

The square root of 136195696 is about 11670.2911703179. The cubic root of 136195696 is about 514.5028614461.

The spelling of 136195696 in words is "one hundred thirty-six million, one hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 83 91 92 98 104 112 161 166 182 184 196 208 299 322 332 343 364 368 392 581 598 637 644 664 686 728 784 1079 1127 1162 1196 1274 1288 1328 1372 1456 1909 2093 2158 2254 2324 2392 2548 2576 2744 3818 4067 4186 4316 4459 4508 4648 4784 5096 5488 7553 7636 7889 8134 8372 8632 8918 9016 9296 10192 13363 14651 15106 15272 15778 16268 16744 17264 17836 18032 24817 26726 28469 29302 30212 30544 31556 32536 33488 35672 49634 52871 53452 56938 58604 60424 63112 65072 71344 93541 99268 102557 105742 106904 113876 117208 120848 126224 173719 187082 198536 205114 211484 213808 227752 234416 347438 370097 374164 397072 410228 422968 455504 654787 694876 740194 748328 820456 845936 1216033 1309574 1389752 1480388 1496656 1640912 2432066 2619148 2779504 2960776 4864132 5238296 5921552 8512231 9728264 10476592 17024462 19456528 34048924 68097848 136195696