138006192960 has 672 divisors, whose sum is σ = 536207817600. Its totient is φ = 33652039680.

The previous prime is 138006192923. The next prime is 138006192971. The reversal of 138006192960 is 69291600831.

It is a happy number.

138006192960 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 619 + 29 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 42844150 + ... + 42847370.

It is an arithmetic number, because the mean of its divisors is an integer number (797928300).

Almost surely, 2^138006192960 is an apocalyptic number.

138006192960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138006192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268103908800).

138006192960 is an abundant number, since it is smaller than the sum of its proper divisors (398201624640).

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

138006192960 is a wasteful number, since it uses less digits than its factorization.

138006192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 138006192960 in words is "one hundred thirty-eight billion, six million, one hundred ninety-two thousand, nine hundred sixty".