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137304444 = 223172923209
BaseRepresentation
bin10000010111100…
…01100101111100
3100120100210021210
420023301211330
5240122220234
621342524420
73255032334
oct1013614574
9316323253
10137304444
1170560952
1239b96710
13225a5444
14143420c4
15c0c2be9
hex82f197c

137304444 has 48 divisors (see below), whose sum is σ = 350935200. Its totient is φ = 41588736.

The previous prime is 137304443. The next prime is 137304463. The reversal of 137304444 is 444403731.

137304444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137304443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5689 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (7311150).

Almost surely, 2137304444 is an apocalyptic number.

It is an amenable number.

137304444 is an abundant number, since it is smaller than the sum of its proper divisors (213630756).

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

137304444 is a wasteful number, since it uses less digits than its factorization.

137304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23262 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 137304444 is about 11717.6978967714. The cubic root of 137304444 is about 515.8952524593.

The spelling of 137304444 in words is "one hundred thirty-seven million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 23209 46418 69627 92836 139254 278508 394553 673061 789106 1183659 1346122 1578212 2019183 2367318 2692244 4038366 4734636 8076732 11442037 22884074 34326111 45768148 68652222 137304444