133723920 has 160 divisors (see below), whose sum is σ = 464791680. Its totient is φ = 31541760.

The previous prime is 133723907. The next prime is 133723927. The reversal of 133723920 is 29327331.

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

It is not an unprimeable number, because it can be changed into a prime (133723927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3614142 + ... + 3614178.

It is an arithmetic number, because the mean of its divisors is an integer number (2904948).

Almost surely, 2^133723920 is an apocalyptic number.

133723920 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 133723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232395840).

133723920 is an abundant number, since it is smaller than the sum of its proper divisors (331067760).

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

133723920 is an equidigital number, since it uses as much as digits as its factorization.

133723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 133723920 is about 11563.9059145256. The cubic root of 133723920 is about 511.3713190208.

The spelling of 133723920 in words is "one hundred thirty-three million, seven hundred twenty-three thousand, nine hundred twenty".