131434400 has 72 divisors (see below), whose sum is σ = 337790880. Its totient is φ = 49800960.

The previous prime is 131434379. The next prime is 131434421. The reversal of 131434400 is 4434131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131434379) and next prime (131434421).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10877 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (4691540).

Almost surely, 2^131434400 is an apocalyptic number.

131434400 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 131434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168895440).

131434400 is an abundant number, since it is smaller than the sum of its proper divisors (206356480).

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

131434400 is a wasteful number, since it uses less digits than its factorization.

131434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131434400 is about 11464.4842884449. The cubic root of 131434400 is about 508.4360651159.

Adding to 131434400 its reverse (4434131), we get a palindrome (135868531).

The spelling of 131434400 in words is "one hundred thirty-one million, four hundred thirty-four thousand, four hundred".