131790000 has 200 divisors, whose sum is σ = 446257152. Its totient is φ = 33440000.

The previous prime is 131789989. The next prime is 131790037. The reversal of 131790000 is 97131.

131790000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689905 + ... + 690095.

Almost surely, 2^131790000 is an apocalyptic number.

131790000 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 131790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223128576).

131790000 is an abundant number, since it is smaller than the sum of its proper divisors (314467152).

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

131790000 is a wasteful number, since it uses less digits than its factorization.

131790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 131790000 is about 11479.9825783840. The cubic root of 131790000 is about 508.8941822606.

The spelling of 131790000 in words is "one hundred thirty-one million, seven hundred ninety thousand".