137214315 has 96 divisors (see below), whose sum is σ = 285207936. Its totient is φ = 59719680.

The previous prime is 137214307. The next prime is 137214367. The reversal of 137214315 is 513412731.

137214315 is a `hidden beast` number, since 137 + 214 + 315 = 666.

It is not a de Polignac number, because 137214315 - 2³ = 137214307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710859 + ... + 711051.

It is an arithmetic number, because the mean of its divisors is an integer number (2970916).

Almost surely, 2^137214315 is an apocalyptic number.

137214315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137214315 is an abundant number, since it is smaller than the sum of its proper divisors (147993621).

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

137214315 is a wasteful number, since it uses less digits than its factorization.

137214315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137214315 is about 11713.8514161654. The cubic root of 137214315 is about 515.7823469106.

The spelling of 137214315 in words is "one hundred thirty-seven million, two hundred fourteen thousand, three hundred fifteen".