138015696 has 160 divisors (see below), whose sum is σ = 462192640. Its totient is φ = 34463232.

The previous prime is 138015671. The next prime is 138015697. The reversal of 138015696 is 696510831.

138015696 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138015697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82161 + ... + 83823.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^138015696 is an apocalyptic number.

138015696 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 138015696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231096320).

138015696 is an abundant number, since it is smaller than the sum of its proper divisors (324176944).

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

138015696 is a wasteful number, since it uses less digits than its factorization.

138015696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 138015696 is about 11748.0081716008. The cubic root of 138015696 is about 516.7845166247.

The spelling of 138015696 in words is "one hundred thirty-eight million, fifteen thousand, six hundred ninety-six".