131562306 has 80 divisors (see below), whose sum is σ = 309868416. Its totient is φ = 41671584.

The previous prime is 131562257. The next prime is 131562341. The reversal of 131562306 is 603265131.

131562306 is a `hidden beast` number, since 1 + 31 + 5 + 623 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131562306.

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 39 ways as a sum of consecutive naturals, for example, 281485 + ... + 281951.

Almost surely, 2^131562306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131562306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154934208).

131562306 is an abundant number, since it is smaller than the sum of its proper divisors (178306110).

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

131562306 is a wasteful number, since it uses less digits than its factorization.

131562306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 131562306 is about 11470.0612901588. The cubic root of 131562306 is about 508.6009406212.

The spelling of 131562306 in words is "one hundred thirty-one million, five hundred sixty-two thousand, three hundred six".