133626348 has 60 divisors (see below), whose sum is σ = 353605560. Its totient is φ = 43996608.

The previous prime is 133626347. The next prime is 133626349. The reversal of 133626348 is 843626331.

133626348 is a `hidden beast` number, since 13 + 3 + 6 + 2 + 634 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (133626347) and next prime (133626349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133626347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24408 + ... + 29376.

It is an arithmetic number, because the mean of its divisors is an integer number (5893426).

Almost surely, 2^133626348 is an apocalyptic number.

133626348 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 133626348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176802780).

133626348 is an abundant number, since it is smaller than the sum of its proper divisors (219979212).

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

133626348 is a wasteful number, since it uses less digits than its factorization.

133626348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5057 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 133626348 is about 11559.6863279243. The cubic root of 133626348 is about 511.2469142952.

The spelling of 133626348 in words is "one hundred thirty-three million, six hundred twenty-six thousand, three hundred forty-eight".