13139366400 has 1200 divisors, whose sum is σ = 55256731200. Its totient is φ = 3065610240.

The previous prime is 13139366329. The next prime is 13139366479. The reversal of 13139366400 is 466393131.

13139366400 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453081586 + ... + 453081614.

It is an arithmetic number, because the mean of its divisors is an integer number (46047276).

Almost surely, 2^13139366400 is an apocalyptic number.

13139366400 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 13139366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628365600).

13139366400 is an abundant number, since it is smaller than the sum of its proper divisors (42117364800).

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

13139366400 is a wasteful number, since it uses less digits than its factorization.

13139366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13139366400 in words is "thirteen billion, one hundred thirty-nine million, three hundred sixty-six thousand, four hundred".