138528500 has 96 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 49632000.

The previous prime is 138528451. The next prime is 138528521. The reversal of 138528500 is 5825831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489359 + ... + 489641.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2^138528500 is an apocalyptic number.

138528500 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 138528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120).

138528500 is an abundant number, since it is smaller than the sum of its proper divisors (196409740).

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

138528500 is a wasteful number, since it uses less digits than its factorization.

138528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 138528500 is about 11769.8130826279. The cubic root of 138528500 is about 517.4237715129.

The spelling of 138528500 in words is "one hundred thirty-eight million, five hundred twenty-eight thousand, five hundred".