138935132160 has 896 divisors, whose sum is σ = 523165547520. Its totient is φ = 31142707200.

The previous prime is 138935132123. The next prime is 138935132209. The reversal of 138935132160 is 61231539831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1274634186 + ... + 1274634294.

It is an arithmetic number, because the mean of its divisors is an integer number (583890120).

Almost surely, 2^138935132160 is an apocalyptic number.

138935132160 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 138935132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261582773760).

138935132160 is an abundant number, since it is smaller than the sum of its proper divisors (384230415360).

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

138935132160 is a wasteful number, since it uses less digits than its factorization.

138935132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 138935132160 in words is "one hundred thirty-eight billion, nine hundred thirty-five million, one hundred thirty-two thousand, one hundred sixty".