139476072960 has 1280 divisors, whose sum is σ = 619983175680. Its totient is φ = 28983951360.

The previous prime is 139476072949. The next prime is 139476072971. The reversal of 139476072960 is 69270674931.

It is a happy number.

139476072960 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 7 + 607 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139476072949) and next prime (139476072971).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139476072897 and 139476072906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254983407 + ... + 254983953.

It is an arithmetic number, because the mean of its divisors is an integer number (484361856).

Almost surely, 2^139476072960 is an apocalyptic number.

139476072960 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 139476072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309991587840).

139476072960 is an abundant number, since it is smaller than the sum of its proper divisors (480507102720).

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

139476072960 is a wasteful number, since it uses less digits than its factorization.

139476072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 139476072960 in words is "one hundred thirty-nine billion, four hundred seventy-six million, seventy-two thousand, nine hundred sixty".