133377300 has 144 divisors (see below), whose sum is σ = 490107520. Its totient is φ = 30481920.

The previous prime is 133377289. The next prime is 133377313. The reversal of 133377300 is 3773331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15372 + ... + 22428.

Almost surely, 2^133377300 is an apocalyptic number.

133377300 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 133377300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245053760).

133377300 is an abundant number, since it is smaller than the sum of its proper divisors (356730220).

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

133377300 is a wasteful number, since it uses less digits than its factorization.

133377300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 27.

The square root of 133377300 is about 11548.9090393855. The cubic root of 133377300 is about 510.9291022103.

Subtracting from 133377300 its product of nonzero digits (3969), we obtain a palindrome (133373331).

The spelling of 133377300 in words is "one hundred thirty-three million, three hundred seventy-seven thousand, three hundred".