138952576840896 has 2688 divisors, whose sum is σ = 541280323584000. Its totient is φ = 35080056668160.

The previous prime is 138952576840877. The next prime is 138952576840951. The reversal of 138952576840896 is 698048675259831.

138952576840896 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 52 + 5 + 76 + 8 + 408 + 96 = 666.

It is a super-2 number, since 2×138952576840896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 234321377176 + ... + 234321377768.

It is an arithmetic number, because the mean of its divisors is an integer number (201369168000).

It is a 1-persistent number, because it is pandigital, but 2⋅138952576840896 = 277905153681792 is not.

Almost surely, 2^{138952576840896} is an apocalyptic number.

138952576840896 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 138952576840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270640161792000).

138952576840896 is an abundant number, since it is smaller than the sum of its proper divisors (402327746743104).

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

138952576840896 is a wasteful number, since it uses less digits than its factorization.

138952576840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 138952576840896 in words is "one hundred thirty-eight trillion, nine hundred fifty-two billion, five hundred seventy-six million, eight hundred forty thousand, eight hundred ninety-six".