137315934 has 96 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 37488528.

The previous prime is 137315923. The next prime is 137315963. The reversal of 137315934 is 439513731.

137315934 is a `hidden beast` number, since 1 + 37 + 31 + 593 + 4 = 666.

137315934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141519 + ... + 142485.

It is an arithmetic number, because the mean of its divisors is an integer number (3775200).

Almost surely, 2^137315934 is an apocalyptic number.

137315934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137315934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

137315934 is an abundant number, since it is smaller than the sum of its proper divisors (225103266).

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

137315934 is a wasteful number, since it uses less digits than its factorization.

137315934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1002 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 137315934 is about 11718.1881705322. The cubic root of 137315934 is about 515.9096425522.

The spelling of 137315934 in words is "one hundred thirty-seven million, three hundred fifteen thousand, nine hundred thirty-four".