133620400 has 60 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 51600640.

The previous prime is 133620329. The next prime is 133620413. The reversal of 133620400 is 4026331.

133620400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133620400² = 35708822592320000, which contains 22 as substring.

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, 5841 + ... + 17359.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^133620400 is an apocalyptic number.

133620400 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 133620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

133620400 is an abundant number, since it is smaller than the sum of its proper divisors (198501200).

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

133620400 is a wasteful number, since it uses less digits than its factorization.

133620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 133620400 is about 11559.4290516444. The cubic root of 133620400 is about 511.2393286112.

Adding to 133620400 its reverse (4026331), we get a palindrome (137646731).

It can be divided in two parts, 1336 and 20400, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 133620400 in words is "one hundred thirty-three million, six hundred twenty thousand, four hundred".