133451120 has 80 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 48134400.

The previous prime is 133451111. The next prime is 133451137. The reversal of 133451120 is 21154331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133451092 and 133451101.

It is a congruent number.

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, 121775 + ... + 122865.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^133451120 is an apocalyptic number.

133451120 is a gapful number since it is divisible by the number (10) 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 133451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

133451120 is an abundant number, since it is smaller than the sum of its proper divisors (207777040).

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

133451120 is a wasteful number, since it uses less digits than its factorization.

133451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 133451120 is about 11552.1045701638. The cubic root of 133451120 is about 511.0233457088.

The spelling of 133451120 in words is "one hundred thirty-three million, four hundred fifty-one thousand, one hundred twenty".