139992263136 has 576 divisors, whose sum is σ = 481767616512. Its totient is φ = 38062080000.

The previous prime is 139992263129. The next prime is 139992263137. The reversal of 139992263136 is 631362299931.

139992263136 is a `hidden beast` number, since 13 + 9 + 99 + 226 + 313 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139992263137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118536466 + ... + 118537646.

It is an arithmetic number, because the mean of its divisors is an integer number (836402112).

Almost surely, 2^139992263136 is an apocalyptic number.

139992263136 is a gapful number since it is divisible by the number (16) 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 139992263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240883808256).

139992263136 is an abundant number, since it is smaller than the sum of its proper divisors (341775353376).

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

139992263136 is a wasteful number, since it uses less digits than its factorization.

139992263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 139992263136 in words is "one hundred thirty-nine billion, nine hundred ninety-two million, two hundred sixty-three thousand, one hundred thirty-six".