138214732320 has 240 divisors, whose sum is σ = 557466452928. Its totient is φ = 31591918080.

The previous prime is 138214732193. The next prime is 138214732321. The reversal of 138214732320 is 23237412831.

138214732320 is a `hidden beast` number, since 1 + 382 + 1 + 47 + 3 + 232 + 0 = 666.

138214732320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138214732321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671046 + ... + 852485.

Almost surely, 2^138214732320 is an apocalyptic number.

138214732320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138214732320 is an abundant number, since it is smaller than the sum of its proper divisors (419251720608).

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

138214732320 is a wasteful number, since it uses less digits than its factorization.

138214732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523565 (or 1523548 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 138214732320 in words is "one hundred thirty-eight billion, two hundred fourteen million, seven hundred thirty-two thousand, three hundred twenty".