137356752 has 40 divisors (see below), whose sum is σ = 382135264. Its totient is φ = 42263424.

The previous prime is 137356741. The next prime is 137356763. The reversal of 137356752 is 257653731.

137356752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137356741) and next prime (137356763).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 137356752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109438 + ... + 110685.

Almost surely, 2^137356752 is an apocalyptic number.

137356752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137356752 is an abundant number, since it is smaller than the sum of its proper divisors (244778512).

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

137356752 is a wasteful number, since it uses less digits than its factorization.

137356752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220147 (or 220141 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 137356752 is about 11719.9296926219. The cubic root of 137356752 is about 515.9607565852.

The spelling of 137356752 in words is "one hundred thirty-seven million, three hundred fifty-six thousand, seven hundred fifty-two".