138635616 has 48 divisors (see below), whose sum is σ = 415908864. Its totient is φ = 39609984.

The previous prime is 138635603. The next prime is 138635617. The reversal of 138635616 is 616536831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138635617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102480 + ... + 103823.

It is an arithmetic number, because the mean of its divisors is an integer number (8664768).

Almost surely, 2^138635616 is an apocalyptic number.

138635616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138635616 is an abundant number, since it is smaller than the sum of its proper divisors (277273248).

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

138635616 is a wasteful number, since it uses less digits than its factorization.

138635616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206323 (or 206315 counting only the distinct ones).

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

The square root of 138635616 is about 11774.3626579106. The cubic root of 138635616 is about 517.5571016829.

The spelling of 138635616 in words is "one hundred thirty-eight million, six hundred thirty-five thousand, six hundred sixteen".