133502400 has 252 divisors, whose sum is σ = 484786432. Its totient is φ = 34836480.

The previous prime is 133502387. The next prime is 133502423. The reversal of 133502400 is 4205331.

133502400 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1051137 + ... + 1051263.

Almost surely, 2^133502400 is an apocalyptic number.

133502400 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 133502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242393216).

133502400 is an abundant number, since it is smaller than the sum of its proper divisors (351284032).

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

133502400 is a wasteful number, since it uses less digits than its factorization.

133502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133502400 is about 11554.3238659819. The cubic root of 133502400 is about 511.0887926962.

Adding to 133502400 its reverse (4205331), we get a palindrome (137707731).

The spelling of 133502400 in words is "one hundred thirty-three million, five hundred two thousand, four hundred".