131520000 has 200 divisors, whose sum is σ = 441027576. Its totient is φ = 34816000.

The previous prime is 131519989. The next prime is 131520031. The reversal of 131520000 is 25131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959932 + ... + 960068.

Almost surely, 2^131520000 is an apocalyptic number.

131520000 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 131520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220513788).

131520000 is an abundant number, since it is smaller than the sum of its proper divisors (309507576).

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

131520000 is an frugal number, since it uses more digits than its factorization.

131520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 131520000 is about 11468.2169494652. The cubic root of 131520000 is about 508.5464184742.

Adding to 131520000 its reverse (25131), we get a palindrome (131545131).

The spelling of 131520000 in words is "one hundred thirty-one million, five hundred twenty thousand".