38164013136 has 140 divisors (see below), whose sum is σ = 111510172788. Its totient is φ = 12647135232.

The previous prime is 38164013119. The next prime is 38164013161. The reversal of 38164013136 is 63131046183.

38164013136 is a `hidden beast` number, since 3 + 8 + 1 + 640 + 1 + 3 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36007339536 + 2156673600 = 189756^2 + 46440^2 .

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 38164013136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2008416 + ... + 2027328.

Almost surely, 2^38164013136 is an apocalyptic number.

38164013136 is a gapful number since it is divisible by the number (36) 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 38164013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755086394).

38164013136 is an abundant number, since it is smaller than the sum of its proper divisors (73346159652).

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

38164013136 is a wasteful number, since it uses less digits than its factorization.

38164013136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38164013136 in words is "thirty-eight billion, one hundred sixty-four million, thirteen thousand, one hundred thirty-six".