137431308 has 96 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 37509120.

The previous prime is 137431297. The next prime is 137431379. The reversal of 137431308 is 803134731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231460 + ... + 232052.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^137431308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137431308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

137431308 is an abundant number, since it is smaller than the sum of its proper divisors (245769972).

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

137431308 is a wasteful number, since it uses less digits than its factorization.

137431308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137431308 is about 11723.1099969249. The cubic root of 137431308 is about 516.0540926406.

It can be divided in two parts, 13743 and 1308, that added together give a palindrome (15051).

The spelling of 137431308 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, three hundred eight".