1000133472 has 96 divisors (see below), whose sum is σ = 2950311168. Its totient is φ = 294345216.

The previous prime is 1000133471. The next prime is 1000133473. The reversal of 1000133472 is 2743310001.

It is an interprime number because it is at equal distance from previous prime (1000133471) and next prime (1000133473).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000133471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11283 + ... + 46125.

It is an arithmetic number, because the mean of its divisors is an integer number (30732408).

Almost surely, 2^1000133472 is an apocalyptic number.

1000133472 is a gapful number since it is divisible by the number (12) 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 1000133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475155584).

1000133472 is an abundant number, since it is smaller than the sum of its proper divisors (1950177696).

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

1000133472 is a wasteful number, since it uses less digits than its factorization.

1000133472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34892 (or 34884 counting only the distinct ones).

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

The square root of 1000133472 is about 31624.8869088887. The cubic root of 1000133472 is about 1000.0444886874.

Adding to 1000133472 its reverse (2743310001), we get a palindrome (3743443473).

The spelling of 1000133472 in words is "one billion, one hundred thirty-three thousand, four hundred seventy-two".