133302672 has 100 divisors (see below), whose sum is σ = 391379340. Its totient is φ = 43794432.

The previous prime is 133302619. The next prime is 133302677. The reversal of 133302672 is 276203331.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 104530176 = 5364^2 + 10224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133302677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93904 + ... + 95312.

Almost surely, 2^133302672 is an apocalyptic number.

133302672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133302672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195689670).

133302672 is an abundant number, since it is smaller than the sum of its proper divisors (258076668).

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

133302672 is a wasteful number, since it uses less digits than its factorization.

133302672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133302672 is about 11545.6776327767. The cubic root of 133302672 is about 510.8337918120.

The spelling of 133302672 in words is "one hundred thirty-three million, three hundred two thousand, six hundred seventy-two".