137754432 has 70 divisors (see below), whose sum is σ = 408362658. Its totient is φ = 45916416.

The previous prime is 137754377. The next prime is 137754481. The reversal of 137754432 is 234457731.

137754432 is a `hidden beast` number, since 13 + 77 + 544 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137733696 + 20736 = 11736^2 + 144^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8103 + ... + 18470.

Almost surely, 2^137754432 is an apocalyptic number.

137754432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137754432 is an abundant number, since it is smaller than the sum of its proper divisors (270608226).

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

137754432 is an equidigital number, since it uses as much as digits as its factorization.

137754432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26597 (or 26578 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 137754432 is about 11736.8834023347. The cubic root of 137754432 is about 516.4582192553.

The spelling of 137754432 in words is "one hundred thirty-seven million, seven hundred fifty-four thousand, four hundred thirty-two".