138887512500464 has 160 divisors (see below), whose sum is σ = 332435157788160. Its totient is φ = 54738571723776.

The previous prime is 138887512500461. The next prime is 138887512500491. The reversal of 138887512500464 is 464005215788831.

It is a super-2 number, since 2×138887512500464² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138887512500397 and 138887512500406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138887512500461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054849582 + ... + 2054917170.

It is an arithmetic number, because the mean of its divisors is an integer number (2077719736176).

Almost surely, 2^{138887512500464} is an apocalyptic number.

138887512500464 is a gapful number since it is divisible by the number (14) 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 138887512500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166217578894080).

138887512500464 is an abundant number, since it is smaller than the sum of its proper divisors (193547645287696).

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

138887512500464 is a wasteful number, since it uses less digits than its factorization.

138887512500464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72887 (or 72881 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 62.

The spelling of 138887512500464 in words is "one hundred thirty-eight trillion, eight hundred eighty-seven billion, five hundred twelve million, five hundred thousand, four hundred sixty-four".