137537152 has 16 divisors (see below), whose sum is σ = 274000050. Its totient is φ = 68768512.

The previous prime is 137537149. The next prime is 137537161. The reversal of 137537152 is 251735731.

It can be written as a sum of positive squares in only one way, i.e., 136983616 + 553536 = 11704^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×137537152² = 37832936360542208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537127 + ... + 537382.

Almost surely, 2^137537152 is an apocalyptic number.

It is an amenable number.

137537152 is a deficient number, since it is larger than the sum of its proper divisors (136462898).

137537152 is an equidigital number, since it uses as much as digits as its factorization.

137537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074523 (or 1074511 counting only the distinct ones).

The product of its digits is 22050, while the sum is 34.

The square root of 137537152 is about 11727.6234591668. The cubic root of 137537152 is about 516.1865399309.

It can be divided in two parts, 137 and 537152, that added together give a square (537289 = 733²).

The spelling of 137537152 in words is "one hundred thirty-seven million, five hundred thirty-seven thousand, one hundred fifty-two".