138915000 has 400 divisors, whose sum is σ = 567006000. Its totient is φ = 31752000.

The previous prime is 138914989. The next prime is 138915037. The reversal of 138915000 is 519831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 19844997 + ... + 19845003.

It is an arithmetic number, because the mean of its divisors is an integer number (1417515).

Almost surely, 2^138915000 is an apocalyptic number.

138915000 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 138915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283503000).

138915000 is an abundant number, since it is smaller than the sum of its proper divisors (428091000).

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

138915000 is an frugal number, since it uses more digits than its factorization.

138915000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 138915000 is about 11786.2207683379. The cubic root of 138915000 is about 517.9045356094.

The spelling of 138915000 in words is "one hundred thirty-eight million, nine hundred fifteen thousand".