133486144 has 56 divisors (see below), whose sum is σ = 291437568. Its totient is φ = 60157440.

The previous prime is 133486127. The next prime is 133486151. The reversal of 133486144 is 441684331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88662 + ... + 90154.

Almost surely, 2^133486144 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 133486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145718784).

133486144 is an abundant number, since it is smaller than the sum of its proper divisors (157951424).

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

133486144 is a wasteful number, since it uses less digits than its factorization.

133486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1633 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 133486144 is about 11553.6203849702. The cubic root of 133486144 is about 511.0680475095.

It can be divided in two parts, 1334 and 86144, that added together give a palindrome (87478).

The spelling of 133486144 in words is "one hundred thirty-three million, four hundred eighty-six thousand, one hundred forty-four".