131122992 has 160 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 31426560.

The previous prime is 131122969. The next prime is 131123029. The reversal of 131122992 is 299221131.

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 31 ways as a sum of consecutive naturals, for example, 46684 + ... + 49412.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^131122992 is an apocalyptic number.

131122992 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 131122992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

131122992 is an abundant number, since it is smaller than the sum of its proper divisors (323847888).

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

131122992 is a wasteful number, since it uses less digits than its factorization.

131122992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2765 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 131122992 is about 11450.8948121970. The cubic root of 131122992 is about 508.0342010991.

The spelling of 131122992 in words is "one hundred thirty-one million, one hundred twenty-two thousand, nine hundred ninety-two".