131456736 has 96 divisors (see below), whose sum is σ = 385650720. Its totient is φ = 43564032.

The previous prime is 131456723. The next prime is 131456749. The reversal of 131456736 is 637654131.

131456736 is a `hidden beast` number, since 131 + 456 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131456723) and next prime (131456749).

It is a tau number, because it is divible by the number of its divisors (96).

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 131456736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200986 + ... + 201638.

It is an arithmetic number, because the mean of its divisors is an integer number (4017195).

Almost surely, 2^131456736 is an apocalyptic number.

131456736 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 131456736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192825360).

131456736 is an abundant number, since it is smaller than the sum of its proper divisors (254193984).

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

131456736 is a wasteful number, since it uses less digits than its factorization.

131456736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 131456736 is about 11465.4583859521. The cubic root of 131456736 is about 508.4648647420.

It can be divided in two parts, 13145 and 6736, that added together give a square (19881 = 141²).

The spelling of 131456736 in words is "one hundred thirty-one million, four hundred fifty-six thousand, seven hundred thirty-six".