131064700 has 72 divisors (see below), whose sum is σ = 313886160. Its totient is φ = 47193600.

The previous prime is 131064697. The next prime is 131064727. The reversal of 131064700 is 7460131.

131064700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52071 + ... + 54529.

It is an arithmetic number, because the mean of its divisors is an integer number (4359530).

Almost surely, 2^131064700 is an apocalyptic number.

131064700 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 131064700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156943080).

131064700 is an abundant number, since it is smaller than the sum of its proper divisors (182821460).

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

131064700 is a wasteful number, since it uses less digits than its factorization.

131064700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 131064700 is about 11448.3492259801. The cubic root of 131064700 is about 507.9589060937.

The spelling of 131064700 in words is "one hundred thirty-one million, sixty-four thousand, seven hundred".