133535072 has 48 divisors (see below), whose sum is σ = 294576912. Its totient is φ = 59051520.

The previous prime is 133535069. The next prime is 133535093. The reversal of 133535072 is 270535331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7898 + ... + 18150.

It is an arithmetic number, because the mean of its divisors is an integer number (6137019).

Almost surely, 2^133535072 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 133535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147288456).

133535072 is an abundant number, since it is smaller than the sum of its proper divisors (161041840).

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

133535072 is a wasteful number, since it uses less digits than its factorization.

133535072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 133535072 is about 11555.7376224973. The cubic root of 133535072 is about 511.1304821616.

The spelling of 133535072 in words is "one hundred thirty-three million, five hundred thirty-five thousand, seventy-two".