138763296 has 108 divisors (see below), whose sum is σ = 459080622. Its totient is φ = 39642624.

The previous prime is 138763277. The next prime is 138763309. The reversal of 138763296 is 692367831.

138763296 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 632 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 21344400 = 10836^2 + 4620^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9196 + ... + 19028.

Almost surely, 2^138763296 is an apocalyptic number.

138763296 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 138763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229540311).

138763296 is an abundant number, since it is smaller than the sum of its proper divisors (320317326).

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

138763296 is a wasteful number, since it uses less digits than its factorization.

138763296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9845 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 138763296 is about 11779.7833596378. The cubic root of 138763296 is about 517.7159387276.

The spelling of 138763296 in words is "one hundred thirty-eight million, seven hundred sixty-three thousand, two hundred ninety-six".