131348400 has 120 divisors (see below), whose sum is σ = 439138560. Its totient is φ = 33496320.

The previous prime is 131348317. The next prime is 131348401. The reversal of 131348400 is 4843131.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (131348401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25221 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (3659488).

Almost surely, 2^131348400 is an apocalyptic number.

131348400 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 131348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569280).

131348400 is an abundant number, since it is smaller than the sum of its proper divisors (307790160).

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

131348400 is a wasteful number, since it uses less digits than its factorization.

131348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131348400 is about 11460.7329608538. The cubic root of 131348400 is about 508.3251478272.

The spelling of 131348400 in words is "one hundred thirty-one million, three hundred forty-eight thousand, four hundred".