4136723136 has 672 divisors, whose sum is σ = 15739709440. Its totient is φ = 1048080384.

The previous prime is 4136723117. The next prime is 4136723159. The reversal of 4136723136 is 6313276314.

4136723136 is a `hidden beast` number, since 413 + 6 + 7 + 231 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4136723136² = 34224956607835348992, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4136723136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52363545 + ... + 52363623.

Almost surely, 2^4136723136 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 4136723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869854720).

4136723136 is an abundant number, since it is smaller than the sum of its proper divisors (11602986304).

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

4136723136 is a wasteful number, since it uses less digits than its factorization.

4136723136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 4136723136 is about 64317.3626324961. The cubic root of 4136723136 is about 1605.2850153287.

The spelling of 4136723136 in words is "four billion, one hundred thirty-six million, seven hundred twenty-three thousand, one hundred thirty-six".