133002144 has 72 divisors (see below), whose sum is σ = 412618752. Its totient is φ = 40302720.

The previous prime is 133002119. The next prime is 133002157. The reversal of 133002144 is 441200331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17824 + ... + 24159.

It is an arithmetic number, because the mean of its divisors is an integer number (5730816).

Almost surely, 2^133002144 is an apocalyptic number.

It is an amenable number.

133002144 is an abundant number, since it is smaller than the sum of its proper divisors (279616608).

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

133002144 is a wasteful number, since it uses less digits than its factorization.

133002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42010 (or 41999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133002144 is about 11532.6555484849. The cubic root of 133002144 is about 510.4496150378.

Adding to 133002144 its reverse (441200331), we get a palindrome (574202475).

The spelling of 133002144 in words is "one hundred thirty-three million, two thousand, one hundred forty-four".