131252451791344 has 120 divisors (see below), whose sum is σ = 282305181312000. Its totient is φ = 59054268948480.

The previous prime is 131252451791281. The next prime is 131252451791359. The reversal of 131252451791344 is 443197154252131.

It is a super-3 number, since 3×131252451791344³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 131252451791291 and 131252451791300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141332232 + ... + 142257880.

It is an arithmetic number, because the mean of its divisors is an integer number (2352543177600).

Almost surely, 2^{131252451791344} 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 131252451791344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141152590656000).

131252451791344 is an abundant number, since it is smaller than the sum of its proper divisors (151052729520656).

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

131252451791344 is a wasteful number, since it uses less digits than its factorization.

131252451791344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927003 (or 926984 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 131252451791344 in words is "one hundred thirty-one trillion, two hundred fifty-two billion, four hundred fifty-one million, seven hundred ninety-one thousand, three hundred forty-four".