137652552 has 24 divisors (see below), whose sum is σ = 372809190. Its totient is φ = 45884160.

The previous prime is 137652551. The next prime is 137652563. The reversal of 137652552 is 255256731.

137652552 is a `hidden beast` number, since 13 + 76 + 525 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112911876 + 24740676 = 10626^2 + 4974^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×137652552² = 37896450144225408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (137652551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 955849 + ... + 955992.

Almost surely, 2^137652552 is an apocalyptic number.

137652552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137652552 is an abundant number, since it is smaller than the sum of its proper divisors (235156638).

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

137652552 is a wasteful number, since it uses less digits than its factorization.

137652552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911853 (or 1911846 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 137652552 is about 11732.5424354656. The cubic root of 137652552 is about 516.3308676599.

The spelling of 137652552 in words is "one hundred thirty-seven million, six hundred fifty-two thousand, five hundred fifty-two".