131144400 has 120 divisors (see below), whose sum is σ = 466815360. Its totient is φ = 34968960.

The previous prime is 131144371. The next prime is 131144401. The reversal of 131144400 is 4441131.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4729 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (3890128).

Almost surely, 2^131144400 is an apocalyptic number.

131144400 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 131144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233407680).

131144400 is an abundant number, since it is smaller than the sum of its proper divisors (335670960).

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

131144400 is a wasteful number, since it uses less digits than its factorization.

131144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131144400 is about 11451.8295481552. The cubic root of 131144400 is about 508.0618479269.

Adding to 131144400 its reverse (4441131), we get a palindrome (135585531).

The spelling of 131144400 in words is "one hundred thirty-one million, one hundred forty-four thousand, four hundred".