131200440 has 192 divisors, whose sum is σ = 467609760. Its totient is φ = 29352960.

The previous prime is 131200429. The next prime is 131200469. The reversal of 131200440 is 44002131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311430 + ... + 311850.

Almost surely, 2^131200440 is an apocalyptic number.

131200440 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 131200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233804880).

131200440 is an abundant number, since it is smaller than the sum of its proper divisors (336409320).

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

131200440 is a wasteful number, since it uses less digits than its factorization.

131200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131200440 is about 11454.2760574381. The cubic root of 131200440 is about 508.1342051439.

Adding to 131200440 its reverse (44002131), we get a palindrome (175202571).

The spelling of 131200440 in words is "one hundred thirty-one million, two hundred thousand, four hundred forty".