131542924653720 has 768 divisors, whose sum is σ = 502682355302400. Its totient is φ = 30761612766720.

The previous prime is 131542924653713. The next prime is 131542924653731. The reversal of 131542924653720 is 27356429245131.

It is a happy number.

131542924653720 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 29 + 246 + 5 + 372 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131177349 + ... + 132176331.

It is an arithmetic number, because the mean of its divisors is an integer number (654534316800).

Almost surely, 2^{131542924653720} is an apocalyptic number.

131542924653720 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 131542924653720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251341177651200).

131542924653720 is an abundant number, since it is smaller than the sum of its proper divisors (371139430648680).

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

131542924653720 is a wasteful number, since it uses less digits than its factorization.

131542924653720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999082 (or 999066 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 131542924653720 in words is "one hundred thirty-one trillion, five hundred forty-two billion, nine hundred twenty-four million, six hundred fifty-three thousand, seven hundred twenty".