131265598464 has 2112 divisors, whose sum is σ = 576820887552. Its totient is φ = 28665446400.

The previous prime is 131265598423. The next prime is 131265598469. The reversal of 131265598464 is 464895562131.

131265598464 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 5 + 598 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×131265598464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131265598464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131265598469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4234374129 + ... + 4234374159.

Almost surely, 2^131265598464 is an apocalyptic number.

131265598464 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 131265598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288410443776).

131265598464 is an abundant number, since it is smaller than the sum of its proper divisors (445555289088).

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

131265598464 is a wasteful number, since it uses less digits than its factorization.

131265598464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 131265598464 in words is "one hundred thirty-one billion, two hundred sixty-five million, five hundred ninety-eight thousand, four hundred sixty-four".