138053185728 has 112 divisors (see below), whose sum is σ = 374462161920. Its totient is φ = 44866607104.

The previous prime is 138053185709. The next prime is 138053185769. The reversal of 138053185728 is 827581350831.

It is a super-3 number, since 3×138053185728³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344228 + ... + 2402396.

It is an arithmetic number, because the mean of its divisors is an integer number (3343412160).

Almost surely, 2^138053185728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138053185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231080960).

138053185728 is an abundant number, since it is smaller than the sum of its proper divisors (236408976192).

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

138053185728 is a wasteful number, since it uses less digits than its factorization.

138053185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58494 (or 58484 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 138053185728 in words is "one hundred thirty-eight billion, fifty-three million, one hundred eighty-five thousand, seven hundred twenty-eight".