131394000 has 160 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 34368000.

The previous prime is 131393989. The next prime is 131394001. The reversal of 131394000 is 493131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131394001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365821 + ... + 366179.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^131394000 is an apocalyptic number.

131394000 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 131394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

131394000 is an abundant number, since it is smaller than the sum of its proper divisors (300364080).

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

131394000 is a wasteful number, since it uses less digits than its factorization.

131394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131394000 is about 11462.7221897767. The cubic root of 131394000 is about 508.3839658127.

The spelling of 131394000 in words is "one hundred thirty-one million, three hundred ninety-four thousand".