138792960 has 208 divisors, whose sum is σ = 495391680. Its totient is φ = 36864000.

The previous prime is 138792943. The next prime is 138792961. The reversal of 138792960 is 69297831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138792961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552835 + ... + 553085.

Almost surely, 2^138792960 is an apocalyptic number.

138792960 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 138792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247695840).

138792960 is an abundant number, since it is smaller than the sum of its proper divisors (356598720).

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

138792960 is an equidigital number, since it uses as much as digits as its factorization.

138792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 138792960 is about 11781.0423987014. The cubic root of 138792960 is about 517.7528275203.

The spelling of 138792960 in words is "one hundred thirty-eight million, seven hundred ninety-two thousand, nine hundred sixty".