133136724 has 144 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 33868800.

The previous prime is 133136711. The next prime is 133136747. The reversal of 133136724 is 427631331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133136691 and 133136700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189574 + ... + 190274.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^133136724 is an apocalyptic number.

133136724 is a gapful number since it is divisible by the number (14) 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 133136724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

133136724 is an abundant number, since it is smaller than the sum of its proper divisors (270204396).

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

133136724 is a wasteful number, since it uses less digits than its factorization.

133136724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 133136724 is about 11538.4888091985. The cubic root of 133136724 is about 510.6217254257.

The spelling of 133136724 in words is "one hundred thirty-three million, one hundred thirty-six thousand, seven hundred twenty-four".