131194635264 has 693 divisors, whose sum is σ = 485788621591. Its totient is φ = 34076528640.

The previous prime is 131194635227. The next prime is 131194635311. The reversal of 131194635264 is 462536491131.

The square root of 131194635264 is 362208.

It is a perfect power (a square), and thus also a powerful number.

131194635264 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 9 + 4 + 635 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (693).

Its product of digits (466560) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11926785019 + ... + 11926785029.

Almost surely, 2^131194635264 is an apocalyptic number.

131194635264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131194635264 is the 362208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131194635264

131194635264 is an abundant number, since it is smaller than the sum of its proper divisors (354593986327).

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

131194635264 is an frugal number, since it uses more digits than its factorization.

131194635264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 131194635264 in words is "one hundred thirty-one billion, one hundred ninety-four million, six hundred thirty-five thousand, two hundred sixty-four".