131442739200 has 288 divisors, whose sum is σ = 482817535200. Its totient is φ = 35051028480.

The previous prime is 131442739193. The next prime is 131442739213. The reversal of 131442739200 is 2937244131.

It is a happy number.

131442739200 is a `hidden beast` number, since 1 + 3 + 1 + 442 + 7 + 3 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 1334859 + ... + 1429941.

It is an arithmetic number, because the mean of its divisors is an integer number (1676449775).

Almost surely, 2^131442739200 is an apocalyptic number.

131442739200 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 131442739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241408767600).

131442739200 is an abundant number, since it is smaller than the sum of its proper divisors (351374796000).

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

131442739200 is an equidigital number, since it uses as much as digits as its factorization.

131442739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95124 (or 95093 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 131442739200 in words is "one hundred thirty-one billion, four hundred forty-two million, seven hundred thirty-nine thousand, two hundred".