139431511296 has 576 divisors, whose sum is σ = 523870986240. Its totient is φ = 35525468160.

The previous prime is 139431511291. The next prime is 139431511327. The reversal of 139431511296 is 692115134931.

139431511296 is a `hidden beast` number, since 1 + 3 + 9 + 43 + 1 + 511 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×139431511296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139431511291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28205401 + ... + 28210343.

It is an arithmetic number, because the mean of its divisors is an integer number (909498240).

Almost surely, 2^139431511296 is an apocalyptic number.

139431511296 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 139431511296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261935493120).

139431511296 is an abundant number, since it is smaller than the sum of its proper divisors (384439474944).

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

139431511296 is a wasteful number, since it uses less digits than its factorization.

139431511296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5019 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 139431511296 in words is "one hundred thirty-nine billion, four hundred thirty-one million, five hundred eleven thousand, two hundred ninety-six".