138323795040 has 96 divisors (see below), whose sum is σ = 484133297760. Its totient is φ = 36886344192.

The previous prime is 138323795023. The next prime is 138323795083. The reversal of 138323795040 is 40597323831.

138323795040 is a `hidden beast` number, since 138 + 3 + 2 + 3 + 7 + 9 + 504 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16005379 + ... + 16014018.

It is an arithmetic number, because the mean of its divisors is an integer number (5043055185).

Almost surely, 2^138323795040 is an apocalyptic number.

138323795040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138323795040 is an abundant number, since it is smaller than the sum of its proper divisors (345809502720).

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

138323795040 is a wasteful number, since it uses less digits than its factorization.

138323795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32019421 (or 32019407 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 138323795040 in words is "one hundred thirty-eight billion, three hundred twenty-three million, seven hundred ninety-five thousand, forty".