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137304412 = 22719614231
BaseRepresentation
bin10000010111100…
…01100101011100
3100120100210020121
420023301211130
5240122220122
621342524324
73255032260
oct1013614534
9316323217
10137304412
1170560923
1239b966a4
13225a541b
14143420a0
15c0c2bc7
hex82f195c

137304412 has 48 divisors (see below), whose sum is σ = 293870080. Its totient is φ = 54820800.

The previous prime is 137304407. The next prime is 137304421. The reversal of 137304412 is 214403731.

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 15 ways as a sum of consecutive naturals, for example, 30337 + ... + 34567.

Almost surely, 2137304412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137304412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146935040).

137304412 is an abundant number, since it is smaller than the sum of its proper divisors (156565668).

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

137304412 is a wasteful number, since it uses less digits than its factorization.

137304412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 137304412 is about 11717.6965313154. The cubic root of 137304412 is about 515.8952123813.

The spelling of 137304412 in words is "one hundred thirty-seven million, three hundred four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 61 76 122 133 244 266 427 532 854 1159 1708 2318 4231 4636 8113 8462 16226 16924 29617 32452 59234 80389 118468 160778 258091 321556 516182 562723 1032364 1125446 1806637 2250892 3613274 4903729 7226548 9807458 19614916 34326103 68652206 137304412