133126560 has 288 divisors, whose sum is σ = 532127232. Its totient is φ = 29675520.

The previous prime is 133126531. The next prime is 133126561. The reversal of 133126560 is 65621331.

133126560 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (133126561) 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, 473620 + ... + 473900.

It is an arithmetic number, because the mean of its divisors is an integer number (1847664).

Almost surely, 2^133126560 is an apocalyptic number.

133126560 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 133126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266063616).

133126560 is an abundant number, since it is smaller than the sum of its proper divisors (399000672).

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

133126560 is a wasteful number, since it uses less digits than its factorization.

133126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133126560 is about 11538.0483618331. The cubic root of 133126560 is about 510.6087310363.

Adding to 133126560 its reverse (65621331), we get a palindrome (198747891).

The spelling of 133126560 in words is "one hundred thirty-three million, one hundred twenty-six thousand, five hundred sixty".