131400 has 72 divisors (see below), whose sum is σ = 447330. Its totient is φ = 34560.

The previous prime is 131381. The next prime is 131413. The reversal of 131400 is 4131.

131400 = T₄₁ + T₄₂ + ... + T₉₄.

It can be written as a sum of positive squares in 3 ways, for example, as 101124 + 30276 = 318^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

131400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1764 + ... + 1836.

2¹³¹⁴⁰⁰ is an apocalyptic number.

131400 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 131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223665).

131400 is an abundant number, since it is smaller than the sum of its proper divisors (315930).

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

131400 is a wasteful number, since it uses less digits than its factorization.

131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131400 is about 362.4913792078. The cubic root of 131400 is about 50.8391704008.

Adding to 131400 its reverse (4131), we get a palindrome (135531).

The spelling of 131400 in words is "one hundred thirty-one thousand, four hundred".