138528725400 has 864 divisors, whose sum is σ = 535240742400. Its totient is φ = 32036659200.

The previous prime is 138528725369. The next prime is 138528725411. The reversal of 138528725400 is 4527825831.

138528725400 is a `hidden beast` number, since 1 + 3 + 8 + 528 + 72 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 361693609 + ... + 361693991.

It is an arithmetic number, because the mean of its divisors is an integer number (619491600).

Almost surely, 2^138528725400 is an apocalyptic number.

138528725400 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 138528725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267620371200).

138528725400 is an abundant number, since it is smaller than the sum of its proper divisors (396712017000).

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

138528725400 is a wasteful number, since it uses less digits than its factorization.

138528725400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 138528725400 in words is "one hundred thirty-eight billion, five hundred twenty-eight million, seven hundred twenty-five thousand, four hundred".