133011400 has 192 divisors, whose sum is σ = 361584000. Its totient is φ = 45158400.

The previous prime is 133011391. The next prime is 133011413. The reversal of 133011400 is 4110331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1873365 + ... + 1873435.

It is an arithmetic number, because the mean of its divisors is an integer number (1883250).

Almost surely, 2^133011400 is an apocalyptic number.

133011400 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 133011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

133011400 is an abundant number, since it is smaller than the sum of its proper divisors (228572600).

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

133011400 is a wasteful number, since it uses less digits than its factorization.

133011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133011400 is about 11533.0568367627. The cubic root of 133011400 is about 510.4614559798.

Adding to 133011400 its reverse (4110331), we get a palindrome (137121731).

The spelling of 133011400 in words is "one hundred thirty-three million, eleven thousand, four hundred".