133047120 has 160 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 33219072.

The previous prime is 133047107. The next prime is 133047121. The reversal of 133047120 is 21740331.

It is a super-2 number, since 2×133047120² = 35403072280588800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133047121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743191 + ... + 743369.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2^133047120 is an apocalyptic number.

133047120 is a gapful number since it is divisible by the number (10) 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 133047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

133047120 is an abundant number, since it is smaller than the sum of its proper divisors (306210480).

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

133047120 is a wasteful number, since it uses less digits than its factorization.

133047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 133047120 is about 11534.6053248475. The cubic root of 133047120 is about 510.5071464275.

Adding to 133047120 its reverse (21740331), we get a palindrome (154787451).

The spelling of 133047120 in words is "one hundred thirty-three million, forty-seven thousand, one hundred twenty".