138523296 has 96 divisors (see below), whose sum is σ = 388523520. Its totient is φ = 43110144.

The previous prime is 138523279. The next prime is 138523309. The reversal of 138523296 is 692325831.

138523296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 94215 + ... + 95673.

It is an arithmetic number, because the mean of its divisors is an integer number (4047120).

Almost surely, 2^138523296 is an apocalyptic number.

138523296 is a gapful number since it is divisible by the number (16) 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 138523296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760).

138523296 is an abundant number, since it is smaller than the sum of its proper divisors (250000224).

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

138523296 is a wasteful number, since it uses less digits than its factorization.

138523296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 138523296 is about 11769.5920065226. The cubic root of 138523296 is about 517.4172922036.

The spelling of 138523296 in words is "one hundred thirty-eight million, five hundred twenty-three thousand, two hundred ninety-six".