138491136 has 216 divisors, whose sum is σ = 472769024. Its totient is φ = 38154240.

The previous prime is 138491123. The next prime is 138491141. The reversal of 138491136 is 631194831.

138491136 is a `hidden beast` number, since 1 + 38 + 491 + 136 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 138491136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499830 + ... + 500106.

Almost surely, 2^138491136 is an apocalyptic number.

138491136 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 138491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236384512).

138491136 is an abundant number, since it is smaller than the sum of its proper divisors (334277888).

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

138491136 is a wasteful number, since it uses less digits than its factorization.

138491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 138491136 is about 11768.2256946406. The cubic root of 138491136 is about 517.3772473675.

The spelling of 138491136 in words is "one hundred thirty-eight million, four hundred ninety-one thousand, one hundred thirty-six".