137853432 has 48 divisors (see below), whose sum is σ = 373899240. Its totient is φ = 45883968.

The previous prime is 137853403. The next prime is 137853433. The reversal of 137853432 is 234358731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137853433) 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, 84658 + ... + 86270.

Almost surely, 2^137853432 is an apocalyptic number.

137853432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137853432 is an abundant number, since it is smaller than the sum of its proper divisors (236045808).

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

137853432 is a wasteful number, since it uses less digits than its factorization.

137853432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2805 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 137853432 is about 11741.1001188134. The cubic root of 137853432 is about 516.5819106664.

The spelling of 137853432 in words is "one hundred thirty-seven million, eight hundred fifty-three thousand, four hundred thirty-two".