131451144 has 64 divisors (see below), whose sum is σ = 360210240. Its totient is φ = 39644160.

The previous prime is 131451143. The next prime is 131451169. The reversal of 131451144 is 441154131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131451143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60444 + ... + 62580.

It is an arithmetic number, because the mean of its divisors is an integer number (5628285).

Almost surely, 2^131451144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180105120).

131451144 is an abundant number, since it is smaller than the sum of its proper divisors (228759096).

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

131451144 is a wasteful number, since it uses less digits than its factorization.

131451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 131451144 is about 11465.2145204527. The cubic root of 131451144 is about 508.4576548266.

The spelling of 131451144 in words is "one hundred thirty-one million, four hundred fifty-one thousand, one hundred forty-four".