133120000 has 150 divisors (see below), whose sum is σ = 358274378. Its totient is φ = 49152000.

The previous prime is 133119997. The next prime is 133120019. The reversal of 133120000 is 21331.

It can be written as a sum of positive squares in 5 ways, for example, as 78004224 + 55115776 = 8832^2 + 7424^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239994 + ... + 10240006.

Almost surely, 2^133120000 is an apocalyptic number.

133120000 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 133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179137189).

133120000 is an abundant number, since it is smaller than the sum of its proper divisors (225154378).

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

133120000 is an frugal number, since it uses more digits than its factorization.

133120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133120000 is about 11537.7640814848. The cubic root of 133120000 is about 510.6003439088.

Adding to 133120000 its reverse (21331), we get a palindrome (133141331).

The spelling of 133120000 in words is "one hundred thirty-three million, one hundred twenty thousand".