137753032 has 16 divisors (see below), whose sum is σ = 258445260. Its totient is φ = 68834304.

The previous prime is 137753029. The next prime is 137753041. The reversal of 137753032 is 230357731.

It can be written as a sum of positive squares in 2 ways, for example, as 115906756 + 21846276 = 10766^2 + 4674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137752985 and 137753003.

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 3 ways as a sum of consecutive naturals, for example, 11868 + ... + 20404.

Almost surely, 2^137753032 is an apocalyptic number.

It is an amenable number.

137753032 is a deficient number, since it is larger than the sum of its proper divisors (120692228).

137753032 is a wasteful number, since it uses less digits than its factorization.

137753032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10556 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 137753032 is about 11736.8237611374. The cubic root of 137753032 is about 516.4564696590.

It can be divided in two parts, 13775 and 3032, that added together give a 5-th power (16807 = 7⁵).

The spelling of 137753032 in words is "one hundred thirty-seven million, seven hundred fifty-three thousand, thirty-two".