137388312 has 96 divisors (see below), whose sum is σ = 399344400. Its totient is φ = 44198784.

The previous prime is 137388247. The next prime is 137388319. The reversal of 137388312 is 213883731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137388319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55158 + ... + 57594.

Almost surely, 2^137388312 is an apocalyptic number.

137388312 is a gapful number since it is divisible by the number (12) 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 137388312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199672200).

137388312 is an abundant number, since it is smaller than the sum of its proper divisors (261956088).

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

137388312 is a wasteful number, since it uses less digits than its factorization.

137388312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2471 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 137388312 is about 11721.2760397493. The cubic root of 137388312 is about 516.0002704163. Note that the first 3 decimals are identical.

The spelling of 137388312 in words is "one hundred thirty-seven million, three hundred eighty-eight thousand, three hundred twelve".