131424254204544 has 192 divisors, whose sum is σ = 432258007346880. Its totient is φ = 37545936998400.

The previous prime is 131424254204543. The next prime is 131424254204561. The reversal of 131424254204544 is 445402452424131.

131424254204544 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 24 + 2 + 542 + 0 + 45 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 131424254204544.

It is not an unprimeable number, because it can be changed into a prime (131424254204543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78285324 + ... + 79946484.

It is an arithmetic number, because the mean of its divisors is an integer number (2251343788265).

Almost surely, 2^{131424254204544} is an apocalyptic number.

131424254204544 is a gapful number since it is divisible by the number (14) 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 131424254204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216129003673440).

131424254204544 is an abundant number, since it is smaller than the sum of its proper divisors (300833753142336).

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

131424254204544 is a wasteful number, since it uses less digits than its factorization.

131424254204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670999 (or 1670984 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 131424254204544 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred fifty-four million, two hundred four thousand, five hundred forty-four".