138870000 has 150 divisors (see below), whose sum is σ = 485963192. Its totient is φ = 37008000.

The previous prime is 138869999. The next prime is 138870073. The reversal of 138870000 is 78831.

138870000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89229 + ... + 90771.

Almost surely, 2^138870000 is an apocalyptic number.

138870000 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 138870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242981596).

138870000 is an abundant number, since it is smaller than the sum of its proper divisors (347093192).

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

138870000 is a wasteful number, since it uses less digits than its factorization.

138870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138870000 is about 11784.3116048414. The cubic root of 138870000 is about 517.8486063935.

The spelling of 138870000 in words is "one hundred thirty-eight million, eight hundred seventy thousand".