133573440 has 448 divisors, whose sum is σ = 573511680. Its totient is φ = 25436160.

The previous prime is 133573423. The next prime is 133573481. The reversal of 133573440 is 44375331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133573398 and 133573407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960891 + ... + 961029.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^133573440 is an apocalyptic number.

133573440 is a gapful number since it is divisible by the number (10) 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 133573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

133573440 is an abundant number, since it is smaller than the sum of its proper divisors (439938240).

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

133573440 is a wasteful number, since it uses less digits than its factorization.

133573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 133573440 is about 11557.3976309548. The cubic root of 133573440 is about 511.1794310409.

The spelling of 133573440 in words is "one hundred thirty-three million, five hundred seventy-three thousand, four hundred forty".