131327506800 has 540 divisors, whose sum is σ = 553217024880. Its totient is φ = 28711710720.

The previous prime is 131327506799. The next prime is 131327506813. The reversal of 131327506800 is 8605723131.

131327506800 is a `hidden beast` number, since 13 + 132 + 7 + 506 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4041016 + ... + 4073384.

It is an arithmetic number, because the mean of its divisors is an integer number (1024475972).

Almost surely, 2^131327506800 is an apocalyptic number.

131327506800 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 131327506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276608512440).

131327506800 is an abundant number, since it is smaller than the sum of its proper divisors (421889518080).

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

131327506800 is a wasteful number, since it uses less digits than its factorization.

131327506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32430 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 131327506800 in words is "one hundred thirty-one billion, three hundred twenty-seven million, five hundred six thousand, eight hundred".