131056704 has 147 divisors (see below), whose sum is σ = 397415893. Its totient is φ = 42861312.

The previous prime is 131056697. The next prime is 131056711. The reversal of 131056704 is 407650131.

The square root of 131056704 is 11448.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (131056697) and next prime (131056711).

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 36578304 = 9720^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2472742 + ... + 2472794.

Almost surely, 2^131056704 is an apocalyptic number.

131056704 is the 11448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131056704

131056704 is an abundant number, since it is smaller than the sum of its proper divisors (266359189).

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

131056704 is an frugal number, since it uses more digits than its factorization.

131056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 131056704 is about 507.9485760251.

The spelling of 131056704 in words is "one hundred thirty-one million, fifty-six thousand, seven hundred four".