1000133904 has 480 divisors, whose sum is σ = 3582627840. Its totient is φ = 237081600.

The previous prime is 1000133891. The next prime is 1000133921. The reversal of 1000133904 is 4093310001.

1000133904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23258907 + ... + 23258949.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^1000133904 is an apocalyptic number.

1000133904 is a gapful number since it is divisible by the number (14) 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 1000133904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791313920).

1000133904 is an abundant number, since it is smaller than the sum of its proper divisors (2582493936).

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

1000133904 is a wasteful number, since it uses less digits than its factorization.

1000133904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1000133904 is about 31624.8937389519. The cubic root of 1000133904 is about 1000.0446326746.

Adding to 1000133904 its reverse (4093310001), we get a palindrome (5093443905).

The spelling of 1000133904 in words is "one billion, one hundred thirty-three thousand, nine hundred four".