133086720 has 320 divisors, whose sum is σ = 483969024. Its totient is φ = 30965760.

The previous prime is 133086673. The next prime is 133086749. The reversal of 133086720 is 27680331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095019 + ... + 3095061.

Almost surely, 2^133086720 is an apocalyptic number.

133086720 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 133086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241984512).

133086720 is an abundant number, since it is smaller than the sum of its proper divisors (350882304).

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

133086720 is a wasteful number, since it uses less digits than its factorization.

133086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133086720 is about 11536.3217708245. The cubic root of 133086720 is about 510.5577903338.

The spelling of 133086720 in words is "one hundred thirty-three million, eighty-six thousand, seven hundred twenty".