137687680 has 192 divisors, whose sum is σ = 380786400. Its totient is φ = 47443968.

The previous prime is 137687663. The next prime is 137687713. The reversal of 137687680 is 86786731.

It is a self number, because there is not a number n which added to its sum of digits gives 137687680.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055007 + ... + 2055073.

Almost surely, 2^137687680 is an apocalyptic number.

137687680 is a gapful number since it is divisible by the number (10) 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 137687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190393200).

137687680 is an abundant number, since it is smaller than the sum of its proper divisors (243098720).

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

137687680 is a wasteful number, since it uses less digits than its factorization.

137687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 137687680 is about 11734.0393726969. The cubic root of 137687680 is about 516.3747853057.

The spelling of 137687680 in words is "one hundred thirty-seven million, six hundred eighty-seven thousand, six hundred eighty".