133560720 has 120 divisors (see below), whose sum is σ = 456044472. Its totient is φ = 35020800.

The previous prime is 133560703. The next prime is 133560743. The reversal of 133560720 is 27065331.

It is a happy number.

133560720 is a `hidden beast` number, since 1 + 3 + 35 + 607 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 118722816 = 3852^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42400 + ... + 45440.

Almost surely, 2^133560720 is an apocalyptic number.

133560720 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 133560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228022236).

133560720 is an abundant number, since it is smaller than the sum of its proper divisors (322483752).

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

133560720 is a wasteful number, since it uses less digits than its factorization.

133560720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 133560720 is about 11556.8473209609. The cubic root of 133560720 is about 511.1632042402.

The spelling of 133560720 in words is "one hundred thirty-three million, five hundred sixty thousand, seven hundred twenty".