133001000 has 128 divisors (see below), whose sum is σ = 345720960. Its totient is φ = 47488000.

The previous prime is 133000999. The next prime is 133001027. The reversal of 133001000 is 100331.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1176944 + ... + 1177056.

It is an arithmetic number, because the mean of its divisors is an integer number (2700945).

Almost surely, 2^133001000 is an apocalyptic number.

133001000 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 133001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172860480).

133001000 is an abundant number, since it is smaller than the sum of its proper divisors (212719960).

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

133001000 is a wasteful number, since it uses less digits than its factorization.

133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 133001000 is about 11532.6059500878. The cubic root of 133001000 is about 510.4481515124.

Adding to 133001000 its reverse (100331), we get a palindrome (133101331).

The spelling of 133001000 in words is "one hundred thirty-three million, one thousand".