131122560 has 128 divisors (see below), whose sum is σ = 431631360. Its totient is φ = 33822720.

The previous prime is 131122559. The next prime is 131122571. The reversal of 131122560 is 65221131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58419 + ... + 60621.

It is an arithmetic number, because the mean of its divisors is an integer number (3372120).

Almost surely, 2^131122560 is an apocalyptic number.

131122560 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 131122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215815680).

131122560 is an abundant number, since it is smaller than the sum of its proper divisors (300508800).

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

131122560 is a wasteful number, since it uses less digits than its factorization.

131122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131122560 is about 11450.8759490268. The cubic root of 131122560 is about 508.0336431725.

Adding to 131122560 its reverse (65221131), we get a palindrome (196343691).

It can be divided in two parts, 1311 and 22560, that added together give a triangular number (23871 = T₂₁₈).

The spelling of 131122560 in words is "one hundred thirty-one million, one hundred twenty-two thousand, five hundred sixty".