133313460 has 96 divisors (see below), whose sum is σ = 430036992. Its totient is φ = 30226560.

The previous prime is 133313447. The next prime is 133313461. The reversal of 133313460 is 64313331.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 133313460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133313461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53809 + ... + 56231.

It is an arithmetic number, because the mean of its divisors is an integer number (4479552).

Almost surely, 2^133313460 is an apocalyptic number.

133313460 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 133313460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215018496).

133313460 is an abundant number, since it is smaller than the sum of its proper divisors (296723532).

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

133313460 is a wasteful number, since it uses less digits than its factorization.

133313460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 133313460 is about 11546.1448111480. The cubic root of 133313460 is about 510.8475717966.

Adding to 133313460 its reverse (64313331), we get a palindrome (197626791).

The spelling of 133313460 in words is "one hundred thirty-three million, three hundred thirteen thousand, four hundred sixty".