131728766400 has 1008 divisors, whose sum is σ = 601714702080. Its totient is φ = 27234662400.

The previous prime is 131728766399. The next prime is 131728766443. The reversal of 131728766400 is 4667827131.

131728766400 is a `hidden beast` number, since 1 + 3 + 172 + 8 + 76 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661953501 + ... + 661953699.

Almost surely, 2^131728766400 is an apocalyptic number.

131728766400 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 131728766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300857351040).

131728766400 is an abundant number, since it is smaller than the sum of its proper divisors (469985935680).

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

131728766400 is a wasteful number, since it uses less digits than its factorization.

131728766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 131728766400 in words is "one hundred thirty-one billion, seven hundred twenty-eight million, seven hundred sixty-six thousand, four hundred".