131146828164 has 405 divisors, whose sum is σ = 396104910663. Its totient is φ = 37807624800.

The previous prime is 131146828129. The next prime is 131146828177. The reversal of 131146828164 is 461828641131.

The square root of 131146828164 is 362142.

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

131146828164 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 468 + 28 + 164 = 666.

It is a super-2 number, since 2×131146828164² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2222827567 + ... + 2222827625.

Almost surely, 2^131146828164 is an apocalyptic number.

131146828164 is the 362142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131146828164

131146828164 is an abundant number, since it is smaller than the sum of its proper divisors (264958082499).

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

131146828164 is a wasteful number, since it uses less digits than its factorization.

131146828164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 131146828164 in words is "one hundred thirty-one billion, one hundred forty-six million, eight hundred twenty-eight thousand, one hundred sixty-four".