131189714400 has 144 divisors (see below), whose sum is σ = 427144161024. Its totient is φ = 34973959680.

The previous prime is 131189714399. The next prime is 131189714431. The reversal of 131189714400 is 4417981131.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 12827689 + ... + 12837911.

It is an arithmetic number, because the mean of its divisors is an integer number (2966278896).

Almost surely, 2^131189714400 is an apocalyptic number.

131189714400 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 131189714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213572080512).

131189714400 is an abundant number, since it is smaller than the sum of its proper divisors (295954446624).

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

131189714400 is a wasteful number, since it uses less digits than its factorization.

131189714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 131189714400 in words is "one hundred thirty-one billion, one hundred eighty-nine million, seven hundred fourteen thousand, four hundred".