133746760 has 64 divisors (see below), whose sum is σ = 344920320. Its totient is φ = 45722880.

The previous prime is 133746751. The next prime is 133746799. The reversal of 133746760 is 67647331.

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 15 ways as a sum of consecutive naturals, for example, 176302 + ... + 177058.

It is an arithmetic number, because the mean of its divisors is an integer number (5389380).

Almost surely, 2^133746760 is an apocalyptic number.

133746760 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 133746760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172460160).

133746760 is an abundant number, since it is smaller than the sum of its proper divisors (211173560).

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

133746760 is a wasteful number, since it uses less digits than its factorization.

133746760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 133746760 is about 11564.8934279569. The cubic root of 133746760 is about 511.4004313791.

The spelling of 133746760 in words is "one hundred thirty-three million, seven hundred forty-six thousand, seven hundred sixty".