133106148 has 108 divisors (see below), whose sum is σ = 398133372. Its totient is φ = 37376640.

The previous prime is 133106147. The next prime is 133106167. The reversal of 133106148 is 841601331.

133106148 is a `hidden beast` number, since 1 + 33 + 10 + 614 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44595684 + 88510464 = 6678^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (133106147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106986 + ... + 108222.

Almost surely, 2^133106148 is an apocalyptic number.

133106148 is a gapful number since it is divisible by the number (18) 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 133106148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199066686).

133106148 is an abundant number, since it is smaller than the sum of its proper divisors (265027224).

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

133106148 is a wasteful number, since it uses less digits than its factorization.

133106148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133106148 is about 11537.1637762493. The cubic root of 133106148 is about 510.5826328679.

Adding to 133106148 its reverse (841601331), we get a palindrome (974707479).

The spelling of 133106148 in words is "one hundred thirty-three million, one hundred six thousand, one hundred forty-eight".