133734144 has 144 divisors (see below), whose sum is σ = 380282112. Its totient is φ = 41631744.

The previous prime is 133734131. The next prime is 133734149. The reversal of 133734144 is 441437331.

133734144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133734149) 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, 1183432 + ... + 1183544.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2^133734144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

133734144 is an abundant number, since it is smaller than the sum of its proper divisors (246547968).

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

133734144 is a wasteful number, since it uses less digits than its factorization.

133734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 133734144 is about 11564.3479712433. The cubic root of 133734144 is about 511.3843511623.

The spelling of 133734144 in words is "one hundred thirty-three million, seven hundred thirty-four thousand, one hundred forty-four".