133027400 has 144 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 46076800.

The previous prime is 133027381. The next prime is 133027409. The reversal of 133027400 is 4720331.

133027400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133027409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 556481 + ... + 556719.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^133027400 is an apocalyptic number.

133027400 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 133027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

133027400 is an abundant number, since it is smaller than the sum of its proper divisors (223199800).

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

133027400 is a wasteful number, since it uses less digits than its factorization.

133027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 133027400 is about 11533.7504741519. The cubic root of 133027400 is about 510.4819230371.

Adding to 133027400 its reverse (4720331), we get a palindrome (137747731).

It can be divided in two parts, 13302 and 7400, that added together give a palindrome (20702).

The spelling of 133027400 in words is "one hundred thirty-three million, twenty-seven thousand, four hundred".