131896512 has 196 divisors, whose sum is σ = 429758856. Its totient is φ = 39813120.

The previous prime is 131896507. The next prime is 131896529. The reversal of 131896512 is 215698131.

131896512 is a `hidden beast` number, since 131 + 8 + 9 + 6 + 512 = 666.

It is a super-2 number, since 2×131896512² = 34793379755532288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 513088 + ... + 513344.

Almost surely, 2^131896512 is an apocalyptic number.

131896512 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 131896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214879428).

131896512 is an abundant number, since it is smaller than the sum of its proper divisors (297862344).

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

131896512 is an equidigital number, since it uses as much as digits as its factorization.

131896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 131896512 is about 11484.6206728825. The cubic root of 131896512 is about 509.0312405640.

It can be divided in two parts, 13189 and 6512, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 131896512 in words is "one hundred thirty-one million, eight hundred ninety-six thousand, five hundred twelve".