131751190690560 has 4032 divisors, whose sum is σ = 601158769182720. Its totient is φ = 26959852339200.

The previous prime is 131751190690517. The next prime is 131751190690649. The reversal of 131751190690560 is 65096091157131.

131751190690560 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 5 + 1 + 19 + 0 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×131751190690560² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131751190690497 and 131751190690506.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 288295821852 + ... + 288295822308.

It is an arithmetic number, because the mean of its divisors is an integer number (149096916960).

Almost surely, 2^{131751190690560} is an apocalyptic number.

131751190690560 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 131751190690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300579384591360).

131751190690560 is an abundant number, since it is smaller than the sum of its proper divisors (469407578492160).

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

131751190690560 is a wasteful number, since it uses less digits than its factorization.

131751190690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 131751190690560 in words is "one hundred thirty-one trillion, seven hundred fifty-one billion, one hundred ninety million, six hundred ninety thousand, five hundred sixty".