138391136 has 48 divisors (see below), whose sum is σ = 308876400. Its totient is φ = 60507648.

The previous prime is 138391081. The next prime is 138391153. The reversal of 138391136 is 631193831.

138391136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138391096 and 138391105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (6434925).

Almost surely, 2^138391136 is an apocalyptic number.

138391136 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 138391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154438200).

138391136 is an abundant number, since it is smaller than the sum of its proper divisors (170485264).

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

138391136 is a wasteful number, since it uses less digits than its factorization.

138391136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17551 (or 17543 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 138391136 is about 11763.9761985478. The cubic root of 138391136 is about 517.2526902203.

The spelling of 138391136 in words is "one hundred thirty-eight million, three hundred ninety-one thousand, one hundred thirty-six".