139306893755904 has 2560 divisors, whose sum is σ = 539113837363200. Its totient is φ = 34580083507200.

The previous prime is 139306893755899. The next prime is 139306893755977. The reversal of 139306893755904 is 409557398603931.

139306893755904 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 0 + 68 + 9 + 3 + 7 + 559 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211391340727 + ... + 211391341385.

It is an arithmetic number, because the mean of its divisors is an integer number (210591342720).

Almost surely, 2^{139306893755904} is an apocalyptic number.

139306893755904 is a gapful number since it is divisible by the number (14) 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 139306893755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269556918681600).

139306893755904 is an abundant number, since it is smaller than the sum of its proper divisors (399806943607296).

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

139306893755904 is a wasteful number, since it uses less digits than its factorization.

139306893755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 139306893755904 in words is "one hundred thirty-nine trillion, three hundred six billion, eight hundred ninety-three million, seven hundred fifty-five thousand, nine hundred four".