133000420 has 48 divisors (see below), whose sum is σ = 320261760. Its totient is φ = 45448704.

The previous prime is 133000403. The next prime is 133000423. The reversal of 133000420 is 24000331.

It is a super-2 number, since 2×133000420² = 35378223440352800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133000420.

It is not an unprimeable number, because it can be changed into a prime (133000423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45771 + ... + 48589.

It is an arithmetic number, because the mean of its divisors is an integer number (6672120).

Almost surely, 2^133000420 is an apocalyptic number.

133000420 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 133000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160130880).

133000420 is an abundant number, since it is smaller than the sum of its proper divisors (187261340).

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

133000420 is a wasteful number, since it uses less digits than its factorization.

133000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 133000420 is about 11532.5808039658. The cubic root of 133000420 is about 510.4474095121.

Adding to 133000420 its reverse (24000331), we get a palindrome (157000751).

The spelling of 133000420 in words is "one hundred thirty-three million, four hundred twenty", and thus it is an aban number.