133872004 has 48 divisors (see below), whose sum is σ = 279619200. Its totient is φ = 54867456.

The previous prime is 133871989. The next prime is 133872041. The reversal of 133872004 is 400278331.

133872004 = T₃₀₂₄ + T₃₀₂₅ + ... + T₃₀₅₂.

133872004 is digitally balanced in base 3, 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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91027 + ... + 92485.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2^133872004 is an apocalyptic number.

133872004 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 133872004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

133872004 is an abundant number, since it is smaller than the sum of its proper divisors (145747196).

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

133872004 is a wasteful number, since it uses less digits than its factorization.

133872004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 133872004 is about 11570.3069967914. The cubic root of 133872004 is about 511.5600112034.

The spelling of 133872004 in words is "one hundred thirty-three million, eight hundred seventy-two thousand, four".