137901645 has 48 divisors (see below), whose sum is σ = 279556992. Its totient is φ = 61568640.

The previous prime is 137901623. The next prime is 137901679. The reversal of 137901645 is 546109731.

137901645 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 0 + 1 + 645 = 666.

It is not a de Polignac number, because 137901645 - 2⁵ = 137901613 is a prime.

It is a super-3 number, since 3×137901645³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8455 + ... + 18635.

It is an arithmetic number, because the mean of its divisors is an integer number (5824104).

Almost surely, 2^137901645 is an apocalyptic number.

137901645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137901645 is an abundant number, since it is smaller than the sum of its proper divisors (141655347).

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

137901645 is a wasteful number, since it uses less digits than its factorization.

137901645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137901645 is about 11743.1531114944. The cubic root of 137901645 is about 516.6421269418.

The spelling of 137901645 in words is "one hundred thirty-seven million, nine hundred one thousand, six hundred forty-five".