138561403831200 has 2304 divisors, whose sum is σ = 646225238937600. Its totient is φ = 28238510407680.

The previous prime is 138561403831171. The next prime is 138561403831273. The reversal of 138561403831200 is 2138304165831.

It is a happy number.

138561403831200 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 6 + 1 + 403 + 8 + 31 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3955828087 + ... + 3955863113.

It is an arithmetic number, because the mean of its divisors is an integer number (280479704400).

Almost surely, 2^{138561403831200} is an apocalyptic number.

138561403831200 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 138561403831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323112619468800).

138561403831200 is an abundant number, since it is smaller than the sum of its proper divisors (507663835106400).

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

138561403831200 is a wasteful number, since it uses less digits than its factorization.

138561403831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35111 (or 35080 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 138561403831200 in words is "one hundred thirty-eight trillion, five hundred sixty-one billion, four hundred three million, eight hundred thirty-one thousand, two hundred".