138057696 has 180 divisors, whose sum is σ = 472747968. Its totient is φ = 39408768.

The previous prime is 138057691. The next prime is 138057737. The reversal of 138057696 is 696750831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138057691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126465 + ... + 127551.

Almost surely, 2^138057696 is an apocalyptic number.

138057696 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 138057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236373984).

138057696 is an abundant number, since it is smaller than the sum of its proper divisors (334690272).

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

138057696 is a wasteful number, since it uses less digits than its factorization.

138057696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 138057696 is about 11749.7955726898. The cubic root of 138057696 is about 516.8369327604.

The spelling of 138057696 in words is "one hundred thirty-eight million, fifty-seven thousand, six hundred ninety-six".