133827372 has 144 divisors (see below), whose sum is σ = 410755072. Its totient is φ = 35925120.

The previous prime is 133827367. The next prime is 133827391. The reversal of 133827372 is 273728331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288813 + ... + 289275.

Almost surely, 2^133827372 is an apocalyptic number.

133827372 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 133827372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205377536).

133827372 is an abundant number, since it is smaller than the sum of its proper divisors (276927700).

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

133827372 is a wasteful number, since it uses less digits than its factorization.

133827372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 133827372 is about 11568.3781058539. The cubic root of 133827372 is about 511.5031546948.

The spelling of 133827372 in words is "one hundred thirty-three million, eight hundred twenty-seven thousand, three hundred seventy-two".