139972128660 has 1152 divisors, whose sum is σ = 572353367040. Its totient is φ = 26873856000.

The previous prime is 139972128643. The next prime is 139972128701. The reversal of 139972128660 is 66821279931.

139972128660 is a `hidden beast` number, since 1 + 399 + 72 + 128 + 6 + 60 = 666.

It is a super-2 number, since 2×139972128660² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 139972128597 and 139972128606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1385862610 + ... + 1385862710.

It is an arithmetic number, because the mean of its divisors is an integer number (496834520).

Almost surely, 2^139972128660 is an apocalyptic number.

139972128660 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 139972128660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286176683520).

139972128660 is an abundant number, since it is smaller than the sum of its proper divisors (432381238380).

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

139972128660 is a wasteful number, since it uses less digits than its factorization.

139972128660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 139972128660 in words is "one hundred thirty-nine billion, nine hundred seventy-two million, one hundred twenty-eight thousand, six hundred sixty".