131884059552 has 192 divisors, whose sum is σ = 419237441280. Its totient is φ = 35438247936.

The previous prime is 131884059551. The next prime is 131884059563. The reversal of 131884059552 is 255950488131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 131884059495 and 131884059504.

It is not an unprimeable number, because it can be changed into a prime (131884059551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19063198 + ... + 19070114.

It is an arithmetic number, because the mean of its divisors is an integer number (2183528340).

Almost surely, 2^131884059552 is an apocalyptic number.

131884059552 is a gapful number since it is divisible by the number (12) 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 131884059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209618720640).

131884059552 is an abundant number, since it is smaller than the sum of its proper divisors (287353381728).

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

131884059552 is a wasteful number, since it uses less digits than its factorization.

131884059552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 131884059552 in words is "one hundred thirty-one billion, eight hundred eighty-four million, fifty-nine thousand, five hundred fifty-two".