131945000 has 80 divisors (see below), whose sum is σ = 337392000. Its totient is φ = 47960000.

The previous prime is 131944993. The next prime is 131945039. The reversal of 131945000 is 549131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53801 + ... + 56199.

It is an arithmetic number, because the mean of its divisors is an integer number (4217400).

Almost surely, 2^131945000 is an apocalyptic number.

131945000 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 131945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168696000).

131945000 is an abundant number, since it is smaller than the sum of its proper divisors (205447000).

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

131945000 is a wasteful number, since it uses less digits than its factorization.

131945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 131945000 is about 11486.7314759247. The cubic root of 131945000 is about 509.0936098728.

The spelling of 131945000 in words is "one hundred thirty-one million, nine hundred forty-five thousand".