131542400 has 192 divisors, whose sum is σ = 367677360. Its totient is φ = 46080000.

The previous prime is 131542387. The next prime is 131542403. The reversal of 131542400 is 4245131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131542403) 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, 1302350 + ... + 1302450.

Almost surely, 2^131542400 is an apocalyptic number.

131542400 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 131542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183838680).

131542400 is an abundant number, since it is smaller than the sum of its proper divisors (236134960).

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

131542400 is a wasteful number, since it uses less digits than its factorization.

131542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 131542400 is about 11469.1935200344. The cubic root of 131542400 is about 508.5752880837.

Adding to 131542400 its reverse (4245131), we get a palindrome (135787531).

The spelling of 131542400 in words is "one hundred thirty-one million, five hundred forty-two thousand, four hundred".