131746897152 has 216 divisors, whose sum is σ = 410613502208. Its totient is φ = 40385433600.

The previous prime is 131746897141. The next prime is 131746897153. The reversal of 131746897152 is 251798647131.

131746897152 is a `hidden beast` number, since 13 + 17 + 468 + 9 + 7 + 152 = 666.

It is a super-2 number, since 2×131746897152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131746897153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8108877 + ... + 8125107.

Almost surely, 2^131746897152 is an apocalyptic number.

131746897152 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 131746897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205306751104).

131746897152 is an abundant number, since it is smaller than the sum of its proper divisors (278866605056).

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

131746897152 is a wasteful number, since it uses less digits than its factorization.

131746897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16520 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 131746897152 in words is "one hundred thirty-one billion, seven hundred forty-six million, eight hundred ninety-seven thousand, one hundred fifty-two".