131279488200 has 576 divisors, whose sum is σ = 531257425920. Its totient is φ = 28416960000.

The previous prime is 131279488183. The next prime is 131279488201. The reversal of 131279488200 is 2884972131.

It is a happy number.

131279488200 is a `hidden beast` number, since 131 + 279 + 48 + 8 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131279488201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18354625 + ... + 18361775.

It is an arithmetic number, because the mean of its divisors is an integer number (922321920).

Almost surely, 2^131279488200 is an apocalyptic number.

131279488200 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 131279488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628712960).

131279488200 is an abundant number, since it is smaller than the sum of its proper divisors (399977937720).

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

131279488200 is a wasteful number, since it uses less digits than its factorization.

131279488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 131279488200 in words is "one hundred thirty-one billion, two hundred seventy-nine million, four hundred eighty-eight thousand, two hundred".