133126656 has 160 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 39911424.

The previous prime is 133126639. The next prime is 133126657. The reversal of 133126656 is 656621331.

It is not an unprimeable number, because it can be changed into a prime (133126657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178056 + ... + 1178168.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2^133126656 is an apocalyptic number.

133126656 is a gapful number since it is divisible by the number (16) 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 133126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

133126656 is an abundant number, since it is smaller than the sum of its proper divisors (258723264).

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

133126656 is a wasteful number, since it uses less digits than its factorization.

133126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 133126656 is about 11538.0525219813. The cubic root of 133126656 is about 510.6088537727.

Adding to 133126656 its reverse (656621331), we get a palindrome (789747987).

The spelling of 133126656 in words is "one hundred thirty-three million, one hundred twenty-six thousand, six hundred fifty-six".