138570000 has 200 divisors, whose sum is σ = 464851200. Its totient is φ = 35520000.

The previous prime is 138569999. The next prime is 138570001. The reversal of 138570000 is 75831.

It is an interprime number because it is at equal distance from previous prime (138569999) and next prime (138570001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (138570001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 929926 + ... + 930074.

It is an arithmetic number, because the mean of its divisors is an integer number (2324256).

Almost surely, 2^138570000 is an apocalyptic number.

138570000 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 138570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232425600).

138570000 is an abundant number, since it is smaller than the sum of its proper divisors (326281200).

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

138570000 is a wasteful number, since it uses less digits than its factorization.

138570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138570000 is about 11771.5759352773. The cubic root of 138570000 is about 517.4754358337.

The spelling of 138570000 in words is "one hundred thirty-eight million, five hundred seventy thousand".