131535700 has 36 divisors (see below), whose sum is σ = 287516320. Its totient is φ = 52230240.

The previous prime is 131535671. The next prime is 131535743. The reversal of 131535700 is 7535131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9169 + ... + 18631.

Almost surely, 2^131535700 is an apocalyptic number.

131535700 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 131535700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143758160).

131535700 is an abundant number, since it is smaller than the sum of its proper divisors (155980620).

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

131535700 is a wasteful number, since it uses less digits than its factorization.

131535700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 131535700 is about 11468.9014295180. The cubic root of 131535700 is about 508.5666533208.

The spelling of 131535700 in words is "one hundred thirty-one million, five hundred thirty-five thousand, seven hundred".