133049504 has 72 divisors (see below), whose sum is σ = 310650228. Its totient is φ = 55910400.

The previous prime is 133049461. The next prime is 133049507. The reversal of 133049504 is 405940331.

It can be written as a sum of positive squares in 2 ways, for example, as 104448400 + 28601104 = 10220^2 + 5348^2 .

It is not an unprimeable number, because it can be changed into a prime (133049507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82304 + ... + 83904.

Almost surely, 2^133049504 is an apocalyptic number.

133049504 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 133049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155325114).

133049504 is an abundant number, since it is smaller than the sum of its proper divisors (177600724).

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

133049504 is a wasteful number, since it uses less digits than its factorization.

133049504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 133049504 is about 11534.7086655884. The cubic root of 133049504 is about 510.5101955772.

Adding to 133049504 its reverse (405940331), we get a palindrome (538989835).

The spelling of 133049504 in words is "one hundred thirty-three million, forty-nine thousand, five hundred four".