133144512 has 56 divisors (see below), whose sum is σ = 360493056. Its totient is φ = 43346688.

The previous prime is 133144499. The next prime is 133144513. The reversal of 133144512 is 215441331.

It is a happy number.

133144512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133144512² = 35454922151436288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133144513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (6437376).

Almost surely, 2^133144512 is an apocalyptic number.

133144512 is a gapful number since it is divisible by the number (12) 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 133144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528).

133144512 is an abundant number, since it is smaller than the sum of its proper divisors (227348544).

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

133144512 is a wasteful number, since it uses less digits than its factorization.

133144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185 (or 16175 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 133144512 is about 11538.8262834657. The cubic root of 133144512 is about 510.6316817181.

Adding to 133144512 its reverse (215441331), we get a palindrome (348585843).

The spelling of 133144512 in words is "one hundred thirty-three million, one hundred forty-four thousand, five hundred twelve".