139432522400640 has 1152 divisors, whose sum is σ = 602256638430720. Its totient is φ = 30192822005760.

The previous prime is 139432522400597. The next prime is 139432522400701. The reversal of 139432522400640 is 46004225234931.

139432522400640 is a `hidden beast` number, since 1 + 3 + 9 + 43 + 2 + 522 + 40 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392821645 + ... + 393176435.

It is an arithmetic number, because the mean of its divisors is an integer number (522792220860).

Almost surely, 2^{139432522400640} is an apocalyptic number.

139432522400640 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 139432522400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301128319215360).

139432522400640 is an abundant number, since it is smaller than the sum of its proper divisors (462824116030080).

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

139432522400640 is an equidigital number, since it uses as much as digits as its factorization.

139432522400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354870 (or 354827 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 139432522400640 in words is "one hundred thirty-nine trillion, four hundred thirty-two billion, five hundred twenty-two million, four hundred thousand, six hundred forty".