131791000 has 64 divisors (see below), whose sum is σ = 336454560. Its totient is φ = 47920000.

The previous prime is 131790991. The next prime is 131791007. The reversal of 131791000 is 197131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131791007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5010 + ... + 16990.

Almost surely, 2^131791000 is an apocalyptic number.

131791000 is a gapful number since it is divisible by the number (10) 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 131791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168227280).

131791000 is an abundant number, since it is smaller than the sum of its proper divisors (204663560).

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

131791000 is a wasteful number, since it uses less digits than its factorization.

131791000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12013 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 131791000 is about 11480.0261323744. The cubic root of 131791000 is about 508.8954693914.

The spelling of 131791000 in words is "one hundred thirty-one million, seven hundred ninety-one thousand".