133834920 has 128 divisors (see below), whose sum is σ = 422547840. Its totient is φ = 33868800.

The previous prime is 133834919. The next prime is 133834949. The reversal of 133834920 is 29438331.

It is a happy number.

It is a super-2 number, since 2×133834920² = 35823571622812800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190570 + ... + 191270.

It is an arithmetic number, because the mean of its divisors is an integer number (3301155).

Almost surely, 2^133834920 is an apocalyptic number.

133834920 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 133834920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211273920).

133834920 is an abundant number, since it is smaller than the sum of its proper divisors (288712920).

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

133834920 is a wasteful number, since it uses less digits than its factorization.

133834920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 133834920 is about 11568.7043354042. The cubic root of 133834920 is about 511.5127709469.

The spelling of 133834920 in words is "one hundred thirty-three million, eight hundred thirty-four thousand, nine hundred twenty".