138360960 has 320 divisors, whose sum is σ = 526509720. Its totient is φ = 34504704.

The previous prime is 138360949. The next prime is 138360991. The reversal of 138360960 is 69063831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 23270976 = 10728^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881202 + ... + 881358.

Almost surely, 2^138360960 is an apocalyptic number.

138360960 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 138360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263254860).

138360960 is an abundant number, since it is smaller than the sum of its proper divisors (388148760).

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

138360960 is a wasteful number, since it uses less digits than its factorization.

138360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

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

The square root of 138360960 is about 11762.6935690768. The cubic root of 138360960 is about 517.2150920709.

The spelling of 138360960 in words is "one hundred thirty-eight million, three hundred sixty thousand, nine hundred sixty".