137683560 has 64 divisors (see below), whose sum is σ = 472060800. Its totient is φ = 31470336.

The previous prime is 137683547. The next prime is 137683571. The reversal of 137683560 is 65386731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81115 + ... + 82794.

It is an arithmetic number, because the mean of its divisors is an integer number (7375950).

Almost surely, 2^137683560 is an apocalyptic number.

137683560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137683560 is an abundant number, since it is smaller than the sum of its proper divisors (334377240).

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

137683560 is a wasteful number, since it uses less digits than its factorization.

137683560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163930 (or 163926 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137683560 is about 11733.8638137657. The cubic root of 137683560 is about 516.3696347956.

The spelling of 137683560 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, five hundred sixty".