137684040 has 64 divisors (see below), whose sum is σ = 444830400. Its totient is φ = 33891072.

The previous prime is 137684033. The next prime is 137684047. The reversal of 137684040 is 40486731.

It is an interprime number because it is at equal distance from previous prime (137684033) and next prime (137684047).

It is a junction number, because it is equal to n+sod(n) for n = 137683992 and 137684010.

It is not an unprimeable number, because it can be changed into a prime (137684047) 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, 42570 + ... + 45689.

It is an arithmetic number, because the mean of its divisors is an integer number (6950475).

Almost surely, 2^137684040 is an apocalyptic number.

137684040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137684040 is an abundant number, since it is smaller than the sum of its proper divisors (307146360).

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

137684040 is a wasteful number, since it uses less digits than its factorization.

137684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88286 (or 88282 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 137684040 is about 11733.8842673686. The cubic root of 137684040 is about 516.3702348603.

The spelling of 137684040 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, forty".