139616318761920 has 3360 divisors, whose sum is σ = 672931679523840. Its totient is φ = 26681797509120.

The previous prime is 139616318761897. The next prime is 139616318761949. The reversal of 139616318761920 is 29167813616931.

It is a happy number.

139616318761920 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 1 + 6 + 3 + 1 + 8 + 7 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 121089608064 + ... + 121089609216.

Almost surely, 2^{139616318761920} is an apocalyptic number.

139616318761920 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 139616318761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336465839761920).

139616318761920 is an abundant number, since it is smaller than the sum of its proper divisors (533315360761920).

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

139616318761920 is a wasteful number, since it uses less digits than its factorization.

139616318761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 139616318761920 in words is "one hundred thirty-nine trillion, six hundred sixteen billion, three hundred eighteen million, seven hundred sixty-one thousand, nine hundred twenty".