137314560 has 72 divisors (see below), whose sum is σ = 438560640. Its totient is φ = 36616192.

The previous prime is 137314543. The next prime is 137314571. The reversal of 137314560 is 65413731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14040 + ... + 21719.

It is an arithmetic number, because the mean of its divisors is an integer number (6091120).

Almost surely, 2^137314560 is an apocalyptic number.

137314560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137314560 is an abundant number, since it is smaller than the sum of its proper divisors (301246080).

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

137314560 is an equidigital number, since it uses as much as digits as its factorization.

137314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35783 (or 35769 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137314560 is about 11718.1295435748. The cubic root of 137314560 is about 515.9079217948.

The spelling of 137314560 in words is "one hundred thirty-seven million, three hundred fourteen thousand, five hundred sixty".