138813696 has 288 divisors, whose sum is σ = 497100800. Its totient is φ = 37324800.

The previous prime is 138813673. The next prime is 138813799. The reversal of 138813696 is 696318831.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919221 + ... + 919371.

Almost surely, 2^138813696 is an apocalyptic number.

138813696 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 138813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248550400).

138813696 is an abundant number, since it is smaller than the sum of its proper divisors (358287104).

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

138813696 is a wasteful number, since it uses less digits than its factorization.

138813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 138813696 is about 11781.9224237813. The cubic root of 138813696 is about 517.7786107397.

The spelling of 138813696 in words is "one hundred thirty-eight million, eight hundred thirteen thousand, six hundred ninety-six".