131821560 has 256 divisors, whose sum is σ = 486864000. Its totient is φ = 31518720.

The previous prime is 131821541. The next prime is 131821589. The reversal of 131821560 is 65128131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575526 + ... + 575754.

Almost surely, 2^131821560 is an apocalyptic number.

131821560 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 131821560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432000).

131821560 is an abundant number, since it is smaller than the sum of its proper divisors (355042440).

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

131821560 is a wasteful number, since it uses less digits than its factorization.

131821560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131821560 is about 11481.3570626473. The cubic root of 131821560 is about 508.9348009685.

Adding to 131821560 its reverse (65128131), we get a palindrome (196949691).

The spelling of 131821560 in words is "one hundred thirty-one million, eight hundred twenty-one thousand, five hundred sixty".