131419296 has 72 divisors (see below), whose sum is σ = 379046304. Its totient is φ = 43182720.

The previous prime is 131419283. The next prime is 131419303. The reversal of 131419296 is 692914131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×131419296² = 34542062722271232, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131419296.

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 11 ways as a sum of consecutive naturals, for example, 17235 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (5264532).

Almost surely, 2^131419296 is an apocalyptic number.

131419296 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 131419296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523152).

131419296 is an abundant number, since it is smaller than the sum of its proper divisors (247627008).

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

131419296 is a wasteful number, since it uses less digits than its factorization.

131419296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6503 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 131419296 is about 11463.8255394960. The cubic root of 131419296 is about 508.4165884480.

The spelling of 131419296 in words is "one hundred thirty-one million, four hundred nineteen thousand, two hundred ninety-six".