133001600 has 96 divisors (see below), whose sum is σ = 332958600. Its totient is φ = 52490240.

The previous prime is 133001599. The next prime is 133001611. The reversal of 133001600 is 6100331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284567 + ... + 285033.

Almost surely, 2^133001600 is an apocalyptic number.

133001600 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 133001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166479300).

133001600 is an abundant number, since it is smaller than the sum of its proper divisors (199957000).

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

133001600 is an equidigital number, since it uses as much as digits as its factorization.

133001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133001600 is about 11532.6319632597. The cubic root of 133001600 is about 510.4489190967.

Adding to 133001600 its reverse (6100331), we get a palindrome (139101931).

The spelling of 133001600 in words is "one hundred thirty-three million, one thousand, six hundred".