133626144 has 48 divisors (see below), whose sum is σ = 357400512. Its totient is φ = 43699968.

The previous prime is 133626127. The next prime is 133626149. The reversal of 133626144 is 441626331.

133626144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133626149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8044 + ... + 18219.

It is an arithmetic number, because the mean of its divisors is an integer number (7445844).

Almost surely, 2^133626144 is an apocalyptic number.

It is an amenable number.

133626144 is an abundant number, since it is smaller than the sum of its proper divisors (223774368).

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

133626144 is a wasteful number, since it uses less digits than its factorization.

133626144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26329 (or 26321 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 133626144 is about 11559.6775041521. The cubic root of 133626144 is about 511.2466541309.

The spelling of 133626144 in words is "one hundred thirty-three million, six hundred twenty-six thousand, one hundred forty-four".