133404920 has 96 divisors (see below), whose sum is σ = 338128560. Its totient is φ = 47308800.

The previous prime is 133404919. The next prime is 133404923. The reversal of 133404920 is 29404331.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133404920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133404923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207800 + ... + 208440.

Almost surely, 2^133404920 is an apocalyptic number.

133404920 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 133404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169064280).

133404920 is an abundant number, since it is smaller than the sum of its proper divisors (204723640).

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

133404920 is a wasteful number, since it uses less digits than its factorization.

133404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 133404920 is about 11550.1047614297. The cubic root of 133404920 is about 510.9643678010.

The spelling of 133404920 in words is "one hundred thirty-three million, four hundred four thousand, nine hundred twenty".