138336496 has 40 divisors (see below), whose sum is σ = 278308080. Its totient is φ = 66533376.

The previous prime is 138336493. The next prime is 138336503. The reversal of 138336496 is 694633831.

138336496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138336496² = 38273972251116032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138336491) 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, 205216 + ... + 205888.

It is an arithmetic number, because the mean of its divisors is an integer number (6957702).

Almost surely, 2^138336496 is an apocalyptic number.

138336496 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 138336496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139154040).

138336496 is an abundant number, since it is smaller than the sum of its proper divisors (139971584).

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

138336496 is a wasteful number, since it uses less digits than its factorization.

138336496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 138336496 is about 11761.6536252348. The cubic root of 138336496 is about 517.1846068439.

The spelling of 138336496 in words is "one hundred thirty-eight million, three hundred thirty-six thousand, four hundred ninety-six".