131195064 has 256 divisors, whose sum is σ = 454164480. Its totient is φ = 30481920.

The previous prime is 131195041. The next prime is 131195093. The reversal of 131195064 is 460591131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032969 + ... + 1033095.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^131195064 is an apocalyptic number.

131195064 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 131195064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227082240).

131195064 is an abundant number, since it is smaller than the sum of its proper divisors (322969416).

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

131195064 is a wasteful number, since it uses less digits than its factorization.

131195064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 131195064 is about 11454.0413828482. The cubic root of 131195064 is about 508.1272647028.

The spelling of 131195064 in words is "one hundred thirty-one million, one hundred ninety-five thousand, sixty-four".