137172564 has 18 divisors (see below), whose sum is σ = 346741850. Its totient is φ = 45724176.

The previous prime is 137172499. The next prime is 137172583. The reversal of 137172564 is 465271731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 39162564 = 9900^2 + 6258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3810349 = 137172564 / (1 + 3 + 7 + 1 + 7 + 2 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905139 + ... + 1905210.

Almost surely, 2^137172564 is an apocalyptic number.

It is an amenable number.

137172564 is an abundant number, since it is smaller than the sum of its proper divisors (209569286).

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

137172564 is a wasteful number, since it uses less digits than its factorization.

137172564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810359 (or 3810354 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 137172564 is about 11712.0691596319. The cubic root of 137172564 is about 515.7300282361.

The spelling of 137172564 in words is "one hundred thirty-seven million, one hundred seventy-two thousand, five hundred sixty-four".