138224736 has 72 divisors (see below), whose sum is σ = 423324720. Its totient is φ = 42529536.

The previous prime is 138224729. The next prime is 138224761. The reversal of 138224736 is 637422831.

It is a happy number.

138224736 is a `hidden beast` number, since 1 + 382 + 247 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 138224736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14716 + ... + 22203.

It is an arithmetic number, because the mean of its divisors is an integer number (5879510).

Almost surely, 2^138224736 is an apocalyptic number.

138224736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138224736 is an abundant number, since it is smaller than the sum of its proper divisors (285099984).

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

138224736 is a wasteful number, since it uses less digits than its factorization.

138224736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36948 (or 36937 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 138224736 is about 11756.9016326582. The cubic root of 138224736 is about 517.0452940674.

The spelling of 138224736 in words is "one hundred thirty-eight million, two hundred twenty-four thousand, seven hundred thirty-six".