138257854560 has 768 divisors, whose sum is σ = 571666636800. Its totient is φ = 30553915392.

The previous prime is 138257854531. The next prime is 138257854573. The reversal of 138257854560 is 65458752831.

138257854560 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 5 + 78 + 5 + 4 + 560 = 666.

It is a super-2 number, since 2×138257854560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138257854497 and 138257854506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126493374 + ... + 126494466.

It is an arithmetic number, because the mean of its divisors is an integer number (744357600).

Almost surely, 2^138257854560 is an apocalyptic number.

138257854560 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 138257854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285833318400).

138257854560 is an abundant number, since it is smaller than the sum of its proper divisors (433408782240).

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

138257854560 is a wasteful number, since it uses less digits than its factorization.

138257854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 138257854560 in words is "one hundred thirty-eight billion, two hundred fifty-seven million, eight hundred fifty-four thousand, five hundred sixty".