138136320 has 288 divisors, whose sum is σ = 561200640. Its totient is φ = 31518720.

The previous prime is 138136303. The next prime is 138136343. The reversal of 138136320 is 23631831.

It is a happy number.

138136320 is a `hidden beast` number, since 13 + 8 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 31 ways as a sum of consecutive naturals, for example, 241635 + ... + 242205.

Almost surely, 2^138136320 is an apocalyptic number.

138136320 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 138136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280600320).

138136320 is an abundant number, since it is smaller than the sum of its proper divisors (423064320).

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

138136320 is an equidigital number, since it uses as much as digits as its factorization.

138136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 588 counting only the distinct ones).

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

The square root of 138136320 is about 11753.1408568093. The cubic root of 138136320 is about 516.9350271963.

The spelling of 138136320 in words is "one hundred thirty-eight million, one hundred thirty-six thousand, three hundred twenty".