133249600 has 168 divisors, whose sum is σ = 366235488. Its totient is φ = 47308800.

The previous prime is 133249591. The next prime is 133249609. The reversal of 133249600 is 6942331.

It is an interprime number because it is at equal distance from previous prime (133249591) and next prime (133249609).

It is not an unprimeable number, because it can be changed into a prime (133249609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179144 + ... + 1179256.

Almost surely, 2^133249600 is an apocalyptic number.

133249600 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 133249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183117744).

133249600 is an abundant number, since it is smaller than the sum of its proper divisors (232985888).

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

133249600 is a wasteful number, since it uses less digits than its factorization.

133249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 133249600 is about 11543.3790546789. The cubic root of 133249600 is about 510.7659897960.

The spelling of 133249600 in words is "one hundred thirty-three million, two hundred forty-nine thousand, six hundred".