138375360 has 168 divisors, whose sum is σ = 496884960. Its totient is φ = 35278848.

The previous prime is 138375317. The next prime is 138375371. The reversal of 138375360 is 63573831.

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 23 ways as a sum of consecutive naturals, for example, 65196 + ... + 67284.

Almost surely, 2^138375360 is an apocalyptic number.

138375360 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 138375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248442480).

138375360 is an abundant number, since it is smaller than the sum of its proper divisors (358509600).

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

138375360 is a wasteful number, since it uses less digits than its factorization.

138375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 138375360 is about 11763.3056578498. The cubic root of 138375360 is about 517.2330346056.

The spelling of 138375360 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, three hundred sixty".