133628724 has 96 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 42668640.

The previous prime is 133628711. The next prime is 133628731. The reversal of 133628724 is 427826331.

It is a happy number.

133628724 is a `hidden beast` number, since 1 + 3 + 3 + 628 + 7 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558997 + ... + 559235.

It is an arithmetic number, because the mean of its divisors is an integer number (3763200).

Almost surely, 2^133628724 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 133628724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

133628724 is an abundant number, since it is smaller than the sum of its proper divisors (227638476).

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

133628724 is a wasteful number, since it uses less digits than its factorization.

133628724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 133628724 is about 11559.7890984222. The cubic root of 133628724 is about 511.2499444248.

The spelling of 133628724 in words is "one hundred thirty-three million, six hundred twenty-eight thousand, seven hundred twenty-four".