131225284080 has 360 divisors, whose sum is σ = 500040078720. Its totient is φ = 30785356800.

The previous prime is 131225284067. The next prime is 131225284097. The reversal of 131225284080 is 80482522131.

It is a happy number.

131225284080 is a `hidden beast` number, since 1 + 3 + 1 + 225 + 28 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2676426 + ... + 2725014.

Almost surely, 2^131225284080 is an apocalyptic number.

131225284080 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 131225284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250020039360).

131225284080 is an abundant number, since it is smaller than the sum of its proper divisors (368814794640).

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

131225284080 is a wasteful number, since it uses less digits than its factorization.

131225284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48661 (or 48641 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 131225284080 in words is "one hundred thirty-one billion, two hundred twenty-five million, two hundred eighty-four thousand, eighty".