137257216 has 36 divisors (see below), whose sum is σ = 288408400. Its totient is φ = 65014272.

The previous prime is 137257213. The next prime is 137257279. The reversal of 137257216 is 612752731.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137257213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9246 + ... + 18973.

Almost surely, 2^137257216 is an apocalyptic number.

137257216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137257216 is an abundant number, since it is smaller than the sum of its proper divisors (151151184).

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

137257216 is an equidigital number, since it uses as much as digits as its factorization.

137257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28254 (or 28240 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 137257216 is about 11715.6824811873. The cubic root of 137257216 is about 515.8360956096.

The spelling of 137257216 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, two hundred sixteen".