137506752 has 42 divisors (see below), whose sum is σ = 394139928. Its totient is φ = 45835392.

The previous prime is 137506739. The next prime is 137506769. The reversal of 137506752 is 257605731.

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

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, 118788 + ... + 119939.

It is an arithmetic number, because the mean of its divisors is an integer number (9384284).

Almost surely, 2^137506752 is an apocalyptic number.

137506752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137506752 is an abundant number, since it is smaller than the sum of its proper divisors (256633176).

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

137506752 is a wasteful number, since it uses less digits than its factorization.

137506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238745 (or 238732 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 137506752 is about 11726.3273022716. The cubic root of 137506752 is about 516.1485060206.

It can be divided in two parts, 13750 and 6752, that added together give a palindrome (20502).

The spelling of 137506752 in words is "one hundred thirty-seven million, five hundred six thousand, seven hundred fifty-two".