137431716 has 48 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 43681792.

The previous prime is 137431699. The next prime is 137431729. The reversal of 137431716 is 617134731.

137431716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123370 + ... + 124478.

It is an arithmetic number, because the mean of its divisors is an integer number (6993000).

Almost surely, 2^137431716 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 137431716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

137431716 is an abundant number, since it is smaller than the sum of its proper divisors (198232284).

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

137431716 is a wasteful number, since it uses less digits than its factorization.

137431716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 137431716 is about 11723.1273984377. The cubic root of 137431716 is about 516.0546033197.

The spelling of 137431716 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, seven hundred sixteen".