133074144 has 96 divisors (see below), whose sum is σ = 443600640. Its totient is φ = 38019456.

The previous prime is 133074143. The next prime is 133074167. The reversal of 133074144 is 441470331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133074143) 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, 4954 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (4620840).

Almost surely, 2^133074144 is an apocalyptic number.

133074144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133074144 is an abundant number, since it is smaller than the sum of its proper divisors (310526496).

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

133074144 is a wasteful number, since it uses less digits than its factorization.

133074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029 (or 22015 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 133074144 is about 11535.7766968679. The cubic root of 133074144 is about 510.5417081456.

The spelling of 133074144 in words is "one hundred thirty-three million, seventy-four thousand, one hundred forty-four".