138890320 has 40 divisors (see below), whose sum is σ = 323432424. Its totient is φ = 55468032.

The previous prime is 138890317. The next prime is 138890333. The reversal of 138890320 is 23098831.

138890320 = 1155² + 1156² + ... + 1250².

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 95961616 = 6552^2 + 9796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 77272 + ... + 79048.

Almost surely, 2^138890320 is an apocalyptic number.

138890320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138890320 is an abundant number, since it is smaller than the sum of its proper divisors (184542104).

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

138890320 is a wasteful number, since it uses less digits than its factorization.

138890320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 138890320 is about 11785.1737365217. The cubic root of 138890320 is about 517.8738630375.

The spelling of 138890320 in words is "one hundred thirty-eight million, eight hundred ninety thousand, three hundred twenty".