133501200 has 240 divisors, whose sum is σ = 510729216. Its totient is φ = 29145600.

The previous prime is 133501189. The next prime is 133501211. The reversal of 133501200 is 2105331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133501189) and next prime (133501211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133501200.

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, 192855 + ... + 193545.

Almost surely, 2^133501200 is an apocalyptic number.

133501200 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 133501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255364608).

133501200 is an abundant number, since it is smaller than the sum of its proper divisors (377228016).

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

133501200 is a wasteful number, since it uses less digits than its factorization.

133501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133501200 is about 11554.2719372533. The cubic root of 133501200 is about 511.0872613670.

Adding to 133501200 its reverse (2105331), we get a palindrome (135606531).

The spelling of 133501200 in words is "one hundred thirty-three million, five hundred one thousand, two hundred".