133097472 has 192 divisors, whose sum is σ = 412776000. Its totient is φ = 42319872.

The previous prime is 133097431. The next prime is 133097491. The reversal of 133097472 is 274790331.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603543 + ... + 1603625.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^133097472 is an apocalyptic number.

133097472 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 133097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

133097472 is an abundant number, since it is smaller than the sum of its proper divisors (279678528).

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

133097472 is an equidigital number, since it uses as much as digits as its factorization.

133097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 133097472 is about 11536.7877678321. The cubic root of 133097472 is about 510.5715391875.

The spelling of 133097472 in words is "one hundred thirty-three million, ninety-seven thousand, four hundred seventy-two".