131727772800 has 1152 divisors, whose sum is σ = 534647655360. Its totient is φ = 31830589440.

The previous prime is 131727772763. The next prime is 131727772801. The reversal of 131727772800 is 8277727131.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×131727772800² (a number of 23 digits) contains 22 as substring.

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 (131727772801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 839030322 + ... + 839030478.

Almost surely, 2^131727772800 is an apocalyptic number.

131727772800 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 131727772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267323827680).

131727772800 is an abundant number, since it is smaller than the sum of its proper divisors (402919882560).

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

131727772800 is a wasteful number, since it uses less digits than its factorization.

131727772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 131727772800 in words is "one hundred thirty-one billion, seven hundred twenty-seven million, seven hundred seventy-two thousand, eight hundred".