10133280 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2603520.

The previous prime is 10133269. The next prime is 10133287. The reversal of 10133280 is 8233101.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44527 + ... + 44753.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^10133280 is an apocalyptic number.

10133280 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 10133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

10133280 is an abundant number, since it is smaller than the sum of its proper divisors (25719264).

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

10133280 is a wasteful number, since it uses less digits than its factorization.

10133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10133280 is about 3183.2813259277. The cubic root of 10133280 is about 216.3963914605.

Adding to 10133280 its reverse (8233101), we get a palindrome (18366381).

The spelling of 10133280 in words is "ten million, one hundred thirty-three thousand, two hundred eighty".