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136941792 = 25313197557
BaseRepresentation
bin10000010100110…
…01000011100000
3100112200100211020
420022121003200
5240024114132
621331045440
73251662131
oct1012310340
9315610736
10136941792
1170333439
1239a40880
13224a9360
1414289c88
15c05052c
hex82990e0

136941792 has 96 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 41846784.

The previous prime is 136941757. The next prime is 136941803. The reversal of 136941792 is 297149631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245578 + ... + 246134.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 2136941792 is an apocalyptic number.

136941792 is a gapful number since it is divisible by the number (12) 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 136941792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

136941792 is an abundant number, since it is smaller than the sum of its proper divisors (252845760).

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

136941792 is a wasteful number, since it uses less digits than its factorization.

136941792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 136941792 is about 11702.2131240206. The cubic root of 136941792 is about 515.4406534243.

The spelling of 136941792 in words is "one hundred thirty-six million, nine hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 197 208 312 394 416 557 591 624 788 1114 1182 1248 1576 1671 2228 2364 2561 3152 3342 4456 4728 5122 6304 6684 7241 7683 8912 9456 10244 13368 14482 15366 17824 18912 20488 21723 26736 28964 30732 40976 43446 53472 57928 61464 81952 86892 109729 115856 122928 173784 219458 231712 245856 329187 347568 438916 658374 695136 877832 1316748 1426477 1755664 2633496 2852954 3511328 4279431 5266992 5705908 8558862 10533984 11411816 17117724 22823632 34235448 45647264 68470896 136941792