138592080 has 320 divisors, whose sum is σ = 549964800. Its totient is φ = 31726080.

The previous prime is 138592079. The next prime is 138592117. The reversal of 138592080 is 80295831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451287 + ... + 451593.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^138592080 is an apocalyptic number.

138592080 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 138592080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

138592080 is an abundant number, since it is smaller than the sum of its proper divisors (411372720).

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

138592080 is a wasteful number, since it uses less digits than its factorization.

138592080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 138592080 is about 11772.5137502574. The cubic root of 138592080 is about 517.5029195382.

The spelling of 138592080 in words is "one hundred thirty-eight million, five hundred ninety-two thousand, eighty".