131632426800 has 720 divisors, whose sum is σ = 542827846080. Its totient is φ = 28901376000.

The previous prime is 131632426741. The next prime is 131632426813. The reversal of 131632426800 is 8624236131.

131632426800 is a `hidden beast` number, since 13 + 1 + 632 + 4 + 2 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 205354480 + ... + 205355120.

It is an arithmetic number, because the mean of its divisors is an integer number (753927564).

Almost surely, 2^131632426800 is an apocalyptic number.

131632426800 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 131632426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271413923040).

131632426800 is an abundant number, since it is smaller than the sum of its proper divisors (411195419280).

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

131632426800 is a wasteful number, since it uses less digits than its factorization.

131632426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 131632426800 in words is "one hundred thirty-one billion, six hundred thirty-two million, four hundred twenty-six thousand, eight hundred".