138836496 has 160 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 41333760.

The previous prime is 138836491. The next prime is 138836539. The reversal of 138836496 is 694638831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138836491) 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, 1757385 + ... + 1757463.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^138836496 is an apocalyptic number.

138836496 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 138836496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

138836496 is an abundant number, since it is smaller than the sum of its proper divisors (261137904).

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

138836496 is a wasteful number, since it uses less digits than its factorization.

138836496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 138836496 is about 11782.8899680851. The cubic root of 138836496 is about 517.8069573807.

The spelling of 138836496 in words is "one hundred thirty-eight million, eight hundred thirty-six thousand, four hundred ninety-six".