138750720 has 144 divisors (see below), whose sum is σ = 462696192. Its totient is φ = 35368960.

The previous prime is 138750691. The next prime is 138750751. The reversal of 138750720 is 27057831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87535 + ... + 89105.

It is an arithmetic number, because the mean of its divisors is an integer number (3213168).

Almost surely, 2^138750720 is an apocalyptic number.

138750720 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 138750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231348096).

138750720 is an abundant number, since it is smaller than the sum of its proper divisors (323945472).

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

138750720 is a wasteful number, since it uses less digits than its factorization.

138750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 138750720 is about 11779.2495516480. The cubic root of 138750720 is about 517.7002982027.

The spelling of 138750720 in words is "one hundred thirty-eight million, seven hundred fifty thousand, seven hundred twenty".