131292741888 has 1080 divisors, whose sum is σ = 526794184224. Its totient is φ = 32049561600.

The previous prime is 131292741841. The next prime is 131292741893. The reversal of 131292741888 is 888147292131.

131292741888 is a `hidden beast` number, since 1 + 3 + 129 + 27 + 418 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 190003623 + ... + 190004313.

Almost surely, 2^131292741888 is an apocalyptic number.

131292741888 is a gapful number since it is divisible by the number (18) 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 131292741888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263397092112).

131292741888 is an abundant number, since it is smaller than the sum of its proper divisors (395501442336).

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

131292741888 is a wasteful number, since it uses less digits than its factorization.

131292741888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 731 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 131292741888 in words is "one hundred thirty-one billion, two hundred ninety-two million, seven hundred forty-one thousand, eight hundred eighty-eight".