138501600 has 72 divisors (see below), whose sum is σ = 450830520. Its totient is φ = 36933120.

The previous prime is 138501599. The next prime is 138501611. The reversal of 138501600 is 6105831.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 26455 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (6261535).

Almost surely, 2^138501600 is an apocalyptic number.

138501600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138501600 is an abundant number, since it is smaller than the sum of its proper divisors (312328920).

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

138501600 is a wasteful number, since it uses less digits than its factorization.

138501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57732 (or 57719 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138501600 is about 11768.6702732297. The cubic root of 138501600 is about 517.3902775617.

The spelling of 138501600 in words is "one hundred thirty-eight million, five hundred one thousand, six hundred".