133412760 has 192 divisors, whose sum is σ = 483537600. Its totient is φ = 31675392.

The previous prime is 133412723. The next prime is 133412767. The reversal of 133412760 is 67214331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133412767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135229 + ... + 136211.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 2^133412760 is an apocalyptic number.

133412760 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 133412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241768800).

133412760 is an abundant number, since it is smaller than the sum of its proper divisors (350124840).

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

133412760 is a wasteful number, since it uses less digits than its factorization.

133412760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133412760 is about 11550.4441473045. Note that the first 3 decimals coincide. The cubic root of 133412760 is about 510.9743771324.

The spelling of 133412760 in words is "one hundred thirty-three million, four hundred twelve thousand, seven hundred sixty".