133014400 has 96 divisors (see below), whose sum is σ = 331820280. Its totient is φ = 52684800.

The previous prime is 133014391. The next prime is 133014403. The reversal of 133014400 is 4410331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630295 + ... + 630505.

Almost surely, 2^133014400 is an apocalyptic number.

133014400 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 133014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165910140).

133014400 is an abundant number, since it is smaller than the sum of its proper divisors (198805880).

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

133014400 is a wasteful number, since it uses less digits than its factorization.

133014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133014400 is about 11533.1868969509. The cubic root of 133014400 is about 510.4652936781.

Adding to 133014400 its reverse (4410331), we get a palindrome (137424731).

The spelling of 133014400 in words is "one hundred thirty-three million, fourteen thousand, four hundred".