133002120 has 64 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 34243328.

The previous prime is 133002119. The next prime is 133002157. The reversal of 133002120 is 21200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133002096 and 133002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15630 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^133002120 is an apocalyptic number.

133002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133002120 is an abundant number, since it is smaller than the sum of its proper divisors (279773880).

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

133002120 is a wasteful number, since it uses less digits than its factorization.

133002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38262 (or 38258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133002120 is about 11532.6545079613. The cubic root of 133002120 is about 510.4495843345.

Adding to 133002120 its reverse (21200331), we get a palindrome (154202451).

The spelling of 133002120 in words is "one hundred thirty-three million, two thousand, one hundred twenty".