131962844160 has 528 divisors, whose sum is σ = 524215411200. Its totient is φ = 30068047872.

The previous prime is 131962844137. The next prime is 131962844161. The reversal of 131962844160 is 61448269131.

131962844160 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 628 + 4 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×131962844160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131962844161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183536281 + ... + 183536999.

Almost surely, 2^131962844160 is an apocalyptic number.

131962844160 is a gapful number since it is divisible by the number (10) 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 131962844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262107705600).

131962844160 is an abundant number, since it is smaller than the sum of its proper divisors (392252567040).

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

131962844160 is a wasteful number, since it uses less digits than its factorization.

131962844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 131962844160 in words is "one hundred thirty-one billion, nine hundred sixty-two million, eight hundred forty-four thousand, one hundred sixty".