138112776 has 80 divisors (see below), whose sum is σ = 390036240. Its totient is φ = 45658080.

The previous prime is 138112759. The next prime is 138112783. The reversal of 138112776 is 677211831.

138112776 is a `hidden beast` number, since 1 + 381 + 1 + 277 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138112776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84075 + ... + 85701.

It is an arithmetic number, because the mean of its divisors is an integer number (4875453).

Almost surely, 2^138112776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138112776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195018120).

138112776 is an abundant number, since it is smaller than the sum of its proper divisors (251923464).

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

138112776 is a wasteful number, since it uses less digits than its factorization.

138112776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 138112776 is about 11752.1392095227. The cubic root of 138112776 is about 516.9056566686.

The spelling of 138112776 in words is "one hundred thirty-eight million, one hundred twelve thousand, seven hundred seventy-six".