133114072 has 64 divisors (see below), whose sum is σ = 311028480. Its totient is φ = 52002432.

The previous prime is 133114043. The next prime is 133114073. The reversal of 133114072 is 270411331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133114073) 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, 59323 + ... + 61525.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2^133114072 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 133114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514240).

133114072 is an abundant number, since it is smaller than the sum of its proper divisors (177914408).

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

133114072 is a wasteful number, since it uses less digits than its factorization.

133114072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 133114072 is about 11537.5071830964. The cubic root of 133114072 is about 510.5927645724.

The spelling of 133114072 in words is "one hundred thirty-three million, one hundred fourteen thousand, seventy-two".