131194896 has 160 divisors (see below), whose sum is σ = 406664448. Its totient is φ = 35665920.

The previous prime is 131194891. The next prime is 131194897. The reversal of 131194896 is 698491131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (131194891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758266 + ... + 758438.

Almost surely, 2^131194896 is an apocalyptic number.

131194896 is a gapful number since it is divisible by the number (16) 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 131194896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203332224).

131194896 is an abundant number, since it is smaller than the sum of its proper divisors (275469552).

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

131194896 is a wasteful number, since it uses less digits than its factorization.

131194896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 131194896 is about 11454.0340491898. The cubic root of 131194896 is about 508.1270478109.

The spelling of 131194896 in words is "one hundred thirty-one million, one hundred ninety-four thousand, eight hundred ninety-six".