133244100 has 216 divisors, whose sum is σ = 467699232. Its totient is φ = 31449600.

The previous prime is 133244099. The next prime is 133244117. The reversal of 133244100 is 1442331.

It is a super-3 number, since 3×133244100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425544 + ... + 425856.

Almost surely, 2^133244100 is an apocalyptic number.

133244100 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 133244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849616).

133244100 is an abundant number, since it is smaller than the sum of its proper divisors (334455132).

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

133244100 is a wasteful number, since it uses less digits than its factorization.

133244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133244100 is about 11543.1408204180. The cubic root of 133244100 is about 510.7589622537.

Adding to 133244100 its reverse (1442331), we get a palindrome (134686431).

It can be divided in two parts, 13324 and 4100, that added together give a square (17424 = 132²).

The spelling of 133244100 in words is "one hundred thirty-three million, two hundred forty-four thousand, one hundred".