131838192 has 140 divisors (see below), whose sum is σ = 390332160. Its totient is φ = 43110144.

The previous prime is 131838191. The next prime is 131838193. The reversal of 131838192 is 291838131.

It is an interprime number because it is at equal distance from previous prime (131838191) and next prime (131838193).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (131838191) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1038033 + ... + 1038159.

Almost surely, 2^131838192 is an apocalyptic number.

131838192 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 131838192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195166080).

131838192 is an abundant number, since it is smaller than the sum of its proper divisors (258493968).

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

131838192 is an equidigital number, since it uses as much as digits as its factorization.

131838192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 131838192 is about 11482.0813444253. The cubic root of 131838192 is about 508.9562042646.

The spelling of 131838192 in words is "one hundred thirty-one million, eight hundred thirty-eight thousand, one hundred ninety-two".