131241384000 has 336 divisors, whose sum is σ = 486867378816. Its totient is φ = 34997184000.

The previous prime is 131241383971. The next prime is 131241384011. The reversal of 131241384000 is 483142131.

131241384000 is a `hidden beast` number, since 1 + 3 + 124 + 138 + 400 + 0 = 666.

It is a super-3 number, since 3×131241384000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1910245 + ... + 1977755.

It is an arithmetic number, because the mean of its divisors is an integer number (1449010056).

Almost surely, 2^131241384000 is an apocalyptic number.

131241384000 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 131241384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243433689408).

131241384000 is an abundant number, since it is smaller than the sum of its proper divisors (355625994816).

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

131241384000 is an frugal number, since it uses more digits than its factorization.

131241384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67553 (or 67521 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 13124 and 1384000, that added together give a square (1397124 = 1182²).

The spelling of 131241384000 in words is "one hundred thirty-one billion, two hundred forty-one million, three hundred eighty-four thousand".