138164580 has 144 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 34352640.

The previous prime is 138164567. The next prime is 138164581. The reversal of 138164580 is 85461831.

138164580 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 645 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (138164581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242536 + ... + 243104.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^138164580 is an apocalyptic number.

138164580 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 138164580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

138164580 is an abundant number, since it is smaller than the sum of its proper divisors (309992220).

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

138164580 is a wasteful number, since it uses less digits than its factorization.

138164580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138164580 is about 11754.3430271538. The cubic root of 138164580 is about 516.9702764046.

The spelling of 138164580 in words is "one hundred thirty-eight million, one hundred sixty-four thousand, five hundred eighty".