137881432 has 48 divisors (see below), whose sum is σ = 283464720. Its totient is φ = 62502720.

The previous prime is 137881427. The next prime is 137881433. The reversal of 137881432 is 234188731.

It is a super-2 number, since 2×137881432² = 38022578580741248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137881391 and 137881400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137881433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524133 + ... + 524395.

It is an arithmetic number, because the mean of its divisors is an integer number (5905515).

Almost surely, 2^137881432 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 137881432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141732360).

137881432 is an abundant number, since it is smaller than the sum of its proper divisors (145583288).

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

137881432 is a wasteful number, since it uses less digits than its factorization.

137881432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 349 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 137881432 is about 11742.2924507951. The cubic root of 137881432 is about 516.6168833522.

The spelling of 137881432 in words is "one hundred thirty-seven million, eight hundred eighty-one thousand, four hundred thirty-two".