133011720 has 160 divisors (see below), whose sum is σ = 455071320. Its totient is φ = 34836480.

The previous prime is 133011701. The next prime is 133011721. The reversal of 133011720 is 27110331.

It can be written as a sum of positive squares in 4 ways, for example, as 57426084 + 75585636 = 7578^2 + 8694^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133011693 and 133011702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133011721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197304 + ... + 197976.

Almost surely, 2^133011720 is an apocalyptic number.

133011720 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 133011720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227535660).

133011720 is an abundant number, since it is smaller than the sum of its proper divisors (322059600).

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

133011720 is a wasteful number, since it uses less digits than its factorization.

133011720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 133011720 is about 11533.0707099194. The cubic root of 133011720 is about 510.4618653371.

The spelling of 133011720 in words is "one hundred thirty-three million, eleven thousand, seven hundred twenty".