133113600 has 162 divisors, whose sum is σ = 476117096. Its totient is φ = 35481600.

The previous prime is 133113577. The next prime is 133113613. The reversal of 133113600 is 6311331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56445 + ... + 58755.

Almost surely, 2^133113600 is an apocalyptic number.

133113600 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 133113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238058548).

133113600 is an abundant number, since it is smaller than the sum of its proper divisors (343003496).

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

133113600 is a wasteful number, since it uses less digits than its factorization.

133113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133113600 is about 11537.4867280530. The cubic root of 133113600 is about 510.5921610798.

Adding to 133113600 its reverse (6311331), we get a palindrome (139424931).

The spelling of 133113600 in words is "one hundred thirty-three million, one hundred thirteen thousand, six hundred".