131727374400 has 168 divisors, whose sum is σ = 437383818144. Its totient is φ = 34703974400.

The previous prime is 131727374269. The next prime is 131727374407. The reversal of 131727374400 is 4473727131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131727374407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233080 + ... + 563720.

It is an arithmetic number, because the mean of its divisors is an integer number (2603475108).

Almost surely, 2^131727374400 is an apocalyptic number.

131727374400 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 131727374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218691909072).

131727374400 is an abundant number, since it is smaller than the sum of its proper divisors (305656443744).

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

131727374400 is a wasteful number, since it uses less digits than its factorization.

131727374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330749 (or 330734 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 131727374400 in words is "one hundred thirty-one billion, seven hundred twenty-seven million, three hundred seventy-four thousand, four hundred".