131585700 has 72 divisors (see below), whose sum is σ = 393030400. Its totient is φ = 33955200.

The previous prime is 131585681. The next prime is 131585717. The reversal of 131585700 is 7585131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226 + ... + 16374.

Almost surely, 2^131585700 is an apocalyptic number.

131585700 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 131585700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196515200).

131585700 is an abundant number, since it is smaller than the sum of its proper divisors (261444700).

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

131585700 is a wasteful number, since it uses less digits than its factorization.

131585700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 131585700 is about 11471.0810301384. The cubic root of 131585700 is about 508.6310847803.

The spelling of 131585700 in words is "one hundred thirty-one million, five hundred eighty-five thousand, seven hundred".