139382812800 has 2304 divisors, whose sum is σ = 672200726400. Its totient is φ = 27869184000.

The previous prime is 139382812783. The next prime is 139382812867. The reversal of 139382812800 is 8218283931.

It is a happy number.

139382812800 is a `hidden beast` number, since 1 + 3 + 93 + 8 + 281 + 280 + 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 287 ways as a sum of consecutive naturals, for example, 1909353564 + ... + 1909353636.

Almost surely, 2^139382812800 is an apocalyptic number.

139382812800 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 139382812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336100363200).

139382812800 is an abundant number, since it is smaller than the sum of its proper divisors (532817913600).

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

139382812800 is a wasteful number, since it uses less digits than its factorization.

139382812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 139382812800 in words is "one hundred thirty-nine billion, three hundred eighty-two million, eight hundred twelve thousand, eight hundred".