131385555100800 has 7680 divisors, whose sum is σ = 680879520921600. Its totient is φ = 24375781785600.

The previous prime is 131385555100759. The next prime is 131385555100817. The reversal of 131385555100800 is 8001555583131.

131385555100800 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 5 + 55 + 510 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1275587913549 + ... + 1275587913651.

It is an arithmetic number, because the mean of its divisors is an integer number (88656187620).

Almost surely, 2^{131385555100800} is an apocalyptic number.

131385555100800 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 131385555100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340439760460800).

131385555100800 is an abundant number, since it is smaller than the sum of its proper divisors (549493965820800).

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

131385555100800 is a wasteful number, since it uses less digits than its factorization.

131385555100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 131385555100800 in words is "one hundred thirty-one trillion, three hundred eighty-five billion, five hundred fifty-five million, one hundred thousand, eight hundred".