138231360 has 140 divisors (see below), whose sum is σ = 491805468. Its totient is φ = 36854784.

The previous prime is 138231349. The next prime is 138231397. The reversal of 138231360 is 63132831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 30735936 = 10368^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23254 + ... + 28586.

Almost surely, 2^138231360 is an apocalyptic number.

138231360 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 138231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245902734).

138231360 is an abundant number, since it is smaller than the sum of its proper divisors (353574108).

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

138231360 is an equidigital number, since it uses as much as digits as its factorization.

138231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 138231360 is about 11757.1833361567. The cubic root of 138231360 is about 517.0535532098.

The spelling of 138231360 in words is "one hundred thirty-eight million, two hundred thirty-one thousand, three hundred sixty".