133707120 has 80 divisors (see below), whose sum is σ = 421333152. Its totient is φ = 35066880.

The previous prime is 133707083. The next prime is 133707121. The reversal of 133707120 is 21707331.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133707121) 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, 10074 + ... + 19206.

Almost surely, 2^133707120 is an apocalyptic number.

133707120 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 133707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210666576).

133707120 is an abundant number, since it is smaller than the sum of its proper divisors (287626032).

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

133707120 is a wasteful number, since it uses less digits than its factorization.

133707120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 133707120 is about 11563.1794935476. The cubic root of 133707120 is about 511.3499032613.

The spelling of 133707120 in words is "one hundred thirty-three million, seven hundred seven thousand, one hundred twenty".