131633144 has 8 divisors (see below), whose sum is σ = 246812160. Its totient is φ = 65816568.

The previous prime is 131633137. The next prime is 131633147. The reversal of 131633144 is 441336131.

131633144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131633147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8227064 + ... + 8227079.

It is an arithmetic number, because the mean of its divisors is an integer number (30851520).

Almost surely, 2^131633144 is an apocalyptic number.

It is an amenable number.

131633144 is a deficient number, since it is larger than the sum of its proper divisors (115179016).

131633144 is a wasteful number, since it uses less digits than its factorization.

131633144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16454149 (or 16454145 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 131633144 is about 11473.1488267171. The cubic root of 131633144 is about 508.6922074137.

Adding to 131633144 its reverse (441336131), we get a palindrome (572969275).

The spelling of 131633144 in words is "one hundred thirty-one million, six hundred thirty-three thousand, one hundred forty-four".