138960360 has 320 divisors, whose sum is σ = 583355520. Its totient is φ = 28823040.

The previous prime is 138960337. The next prime is 138960413. The reversal of 138960360 is 63069831.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249202 + ... + 249758.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 2^138960360 is an apocalyptic number.

138960360 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 138960360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

138960360 is an abundant number, since it is smaller than the sum of its proper divisors (444395160).

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

138960360 is a wasteful number, since it uses less digits than its factorization.

138960360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 138960360 is about 11788.1448922212. The cubic root of 138960360 is about 517.9609000366.

The spelling of 138960360 in words is "one hundred thirty-eight million, nine hundred sixty thousand, three hundred sixty".