131761656 has 192 divisors, whose sum is σ = 419328000. Its totient is φ = 37013760.

The previous prime is 131761627. The next prime is 131761667. The reversal of 131761656 is 656167131.

131761656 is a `hidden beast` number, since 1 + 31 + 7 + 616 + 5 + 6 = 666.

It is a super-2 number, since 2×131761656² = 34722267983724672, which contains 22 as substring.

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 131761656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551185 + ... + 551423.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^131761656 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 131761656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

131761656 is an abundant number, since it is smaller than the sum of its proper divisors (287566344).

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

131761656 is a wasteful number, since it uses less digits than its factorization.

131761656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 131761656 is about 11478.7480153543. The cubic root of 131761656 is about 508.8576971178.

The spelling of 131761656 in words is "one hundred thirty-one million, seven hundred sixty-one thousand, six hundred fifty-six".