133075123200 has 396 divisors, whose sum is σ = 486649194720. Its totient is φ = 34728837120.

The previous prime is 133075123147. The next prime is 133075123219. The reversal of 133075123200 is 2321570331.

133075123200 is a `hidden beast` number, since 1 + 330 + 7 + 5 + 1 + 2 + 320 + 0 = 666.

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, 10822656 + ... + 10834944.

Almost surely, 2^133075123200 is an apocalyptic number.

133075123200 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 133075123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243324597360).

133075123200 is an abundant number, since it is smaller than the sum of its proper divisors (353574071520).

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

133075123200 is a wasteful number, since it uses less digits than its factorization.

133075123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 133075123200 its reverse (2321570331), we get a palindrome (135396693531).

The spelling of 133075123200 in words is "one hundred thirty-three billion, seventy-five million, one hundred twenty-three thousand, two hundred".