138564360 has 144 divisors (see below), whose sum is σ = 495151020. Its totient is φ = 33580800.

The previous prime is 138564343. The next prime is 138564373. The reversal of 138564360 is 63465831.

138564360 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 643 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124411716 + 14152644 = 11154^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41970 + ... + 45150.

Almost surely, 2^138564360 is an apocalyptic number.

138564360 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 138564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247575510).

138564360 is an abundant number, since it is smaller than the sum of its proper divisors (356586660).

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

138564360 is a wasteful number, since it uses less digits than its factorization.

138564360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 138564360 is about 11771.3363727319. The cubic root of 138564360 is about 517.4684150715.

The spelling of 138564360 in words is "one hundred thirty-eight million, five hundred sixty-four thousand, three hundred sixty".