131612000 has 96 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 48576000.

The previous prime is 131611979. The next prime is 131612017. The reversal of 131612000 is 216131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50735 + ... + 53265.

It is an arithmetic number, because the mean of its divisors is an integer number (3628989).

Almost surely, 2^131612000 is an apocalyptic number.

131612000 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 131612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).

131612000 is an abundant number, since it is smaller than the sum of its proper divisors (216770944).

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

131612000 is a wasteful number, since it uses less digits than its factorization.

131612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131612000 is about 11472.2273338703. The cubic root of 131612000 is about 508.6649691776.

Adding to 131612000 its reverse (216131), we get a palindrome (131828131).

The spelling of 131612000 in words is "one hundred thirty-one million, six hundred twelve thousand".