138032960 has 56 divisors (see below), whose sum is σ = 353985576. Its totient is φ = 50964480.

The previous prime is 138032957. The next prime is 138032971. The reversal of 138032960 is 69230831.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 136796416 = 1112^2 + 11696^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 12431 + ... + 20750.

It is an arithmetic number, because the mean of its divisors is an integer number (6321171).

Almost surely, 2^138032960 is an apocalyptic number.

138032960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138032960 is an abundant number, since it is smaller than the sum of its proper divisors (215952616).

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

138032960 is a wasteful number, since it uses less digits than its factorization.

138032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33211 (or 33201 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 138032960 is about 11748.7429114778. The cubic root of 138032960 is about 516.8060634395.

The spelling of 138032960 in words is "one hundred thirty-eight million, thirty-two thousand, nine hundred sixty".