137442732 has 48 divisors (see below), whose sum is σ = 385808640. Its totient is φ = 37202112.

The previous prime is 137442709. The next prime is 137442743. The reversal of 137442732 is 237244731.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137442693 and 137442702.

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, 41463 + ... + 44654.

It is an arithmetic number, because the mean of its divisors is an integer number (8037680).

Almost surely, 2^137442732 is an apocalyptic number.

137442732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137442732 is an abundant number, since it is smaller than the sum of its proper divisors (248365908).

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

137442732 is a wasteful number, since it uses less digits than its factorization.

137442732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86150 (or 86148 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 137442732 is about 11723.5972295196. The cubic root of 137442732 is about 516.0683912715.

The spelling of 137442732 in words is "one hundred thirty-seven million, four hundred forty-two thousand, seven hundred thirty-two".