131452800 has 96 divisors (see below), whose sum is σ = 433004280. Its totient is φ = 35051520.

The previous prime is 131452793. The next prime is 131452807. The reversal of 131452800 is 8254131.

It is an interprime number because it is at equal distance from previous prime (131452793) and next prime (131452807).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131452807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2754 + ... + 16446.

Almost surely, 2^131452800 is an apocalyptic number.

131452800 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 131452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216502140).

131452800 is an abundant number, since it is smaller than the sum of its proper divisors (301551480).

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

131452800 is a wasteful number, since it uses less digits than its factorization.

131452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 131452800 is about 11465.2867386734. The cubic root of 131452800 is about 508.4597899730.

The spelling of 131452800 in words is "one hundred thirty-one million, four hundred fifty-two thousand, eight hundred".