138372480 has 96 divisors (see below), whose sum is σ = 477837360. Its totient is φ = 36897792.

The previous prime is 138372467. The next prime is 138372517. The reversal of 138372480 is 84273831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6252 + ... + 17771.

Almost surely, 2^138372480 is an apocalyptic number.

138372480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138372480 is an abundant number, since it is smaller than the sum of its proper divisors (339464880).

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

138372480 is a wasteful number, since it uses less digits than its factorization.

138372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24048 (or 24033 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138372480 is about 11763.1832426431. The cubic root of 138372480 is about 517.2294461983.

The spelling of 138372480 in words is "one hundred thirty-eight million, three hundred seventy-two thousand, four hundred eighty".