133337920 has 56 divisors (see below), whose sum is σ = 318897000. Its totient is φ = 53102592.

The previous prime is 133337903. The next prime is 133337933. The reversal of 133337920 is 29733331.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 133263936 = 272^2 + 11544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85306 + ... + 86854.

Almost surely, 2^133337920 is an apocalyptic number.

133337920 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 133337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159448500).

133337920 is an abundant number, since it is smaller than the sum of its proper divisors (185559080).

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

133337920 is a wasteful number, since it uses less digits than its factorization.

133337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 133337920 is about 11547.2039905771. The cubic root of 133337920 is about 510.8788128717.

The spelling of 133337920 in words is "one hundred thirty-three million, three hundred thirty-seven thousand, nine hundred twenty".