133062720 has 112 divisors (see below), whose sum is σ = 482851968. Its totient is φ = 30412800.

The previous prime is 133062707. The next prime is 133062749. The reversal of 133062720 is 27260331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3181 + ... + 16620.

Almost surely, 2^133062720 is an apocalyptic number.

133062720 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 133062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241425984).

133062720 is an abundant number, since it is smaller than the sum of its proper divisors (349789248).

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

133062720 is a wasteful number, since it uses less digits than its factorization.

133062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19828 (or 19818 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 133062720 is about 11535.2815310247. The cubic root of 133062720 is about 510.5270982567.

The spelling of 133062720 in words is "one hundred thirty-three million, sixty-two thousand, seven hundred twenty".