131636736 has 360 divisors, whose sum is σ = 491211864. Its totient is φ = 33546240.

The previous prime is 131636723. The next prime is 131636737. The reversal of 131636736 is 637636131.

131636736 is a `hidden beast` number, since 13 + 1 + 636 + 7 + 3 + 6 = 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 131636736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131636737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483686 + ... + 2483738.

Almost surely, 2^131636736 is an apocalyptic number.

131636736 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 131636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245605932).

131636736 is an abundant number, since it is smaller than the sum of its proper divisors (359575128).

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

131636736 is a wasteful number, since it uses less digits than its factorization.

131636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 131636736 is about 11473.3053650637. The cubic root of 131636736 is about 508.6968344292.

The spelling of 131636736 in words is "one hundred thirty-one million, six hundred thirty-six thousand, seven hundred thirty-six".