131445360 has 120 divisors (see below), whose sum is σ = 467447760. Its totient is φ = 32987136.

The previous prime is 131445359. The next prime is 131445361. The reversal of 131445360 is 63544131.

131445360 = T₆₀ + T₆₁ + ... + T₉₂₃.

It is an interprime number because it is at equal distance from previous prime (131445359) and next prime (131445361).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131445361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6871 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (3895398).

Almost surely, 2^131445360 is an apocalyptic number.

131445360 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 131445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233723880).

131445360 is an abundant number, since it is smaller than the sum of its proper divisors (336002400).

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

131445360 is a wasteful number, since it uses less digits than its factorization.

131445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131445360 is about 11464.9622764316. The cubic root of 131445360 is about 508.4501971453.

Adding to 131445360 its reverse (63544131), we get a palindrome (194989491).

The spelling of 131445360 in words is "one hundred thirty-one million, four hundred forty-five thousand, three hundred sixty".