137327504 has 10 divisors (see below), whose sum is σ = 266072070. Its totient is φ = 68663744.

The previous prime is 137327501. The next prime is 137327507. The reversal of 137327504 is 405723731.

It is an interprime number because it is at equal distance from previous prime (137327501) and next prime (137327507).

It can be written as a sum of positive squares in only one way, i.e., 120121600 + 17205904 = 10960^2 + 4148^2 .

It is not an unprimeable number, because it can be changed into a prime (137327501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4291469 + ... + 4291500.

It is an arithmetic number, because the mean of its divisors is an integer number (26607207).

Almost surely, 2^137327504 is an apocalyptic number.

It is an amenable number.

137327504 is a deficient number, since it is larger than the sum of its proper divisors (128744566).

137327504 is an equidigital number, since it uses as much as digits as its factorization.

137327504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582977 (or 8582971 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 137327504 is about 11718.6818371351. The cubic root of 137327504 is about 515.9241320261.

The spelling of 137327504 in words is "one hundred thirty-seven million, three hundred twenty-seven thousand, five hundred four".