138322620 has 96 divisors (see below), whose sum is σ = 444272640. Its totient is φ = 35691840.

The previous prime is 138322619. The next prime is 138322627. The reversal of 138322620 is 26223831.

138322620 is a `hidden beast` number, since 1 + 3 + 8 + 32 + 2 + 620 = 666.

138322620 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138322627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12609 + ... + 20871.

It is an arithmetic number, because the mean of its divisors is an integer number (4627840).

Almost surely, 2^138322620 is an apocalyptic number.

138322620 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 138322620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222136320).

138322620 is an abundant number, since it is smaller than the sum of its proper divisors (305950020).

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

138322620 is a wasteful number, since it uses less digits than its factorization.

138322620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138322620 is about 11761.0637274015. The cubic root of 138322620 is about 517.1673140018.

The spelling of 138322620 in words is "one hundred thirty-eight million, three hundred twenty-two thousand, six hundred twenty".