10133376 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3069440.

The previous prime is 10133371. The next prime is 10133399. The reversal of 10133376 is 67333101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133371) 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 7 ways as a sum of consecutive naturals, for example, 3025 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^10133376 is an apocalyptic number.

10133376 is a gapful number since it is divisible by the number (16) 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 10133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10133376 is an abundant number, since it is smaller than the sum of its proper divisors (19242624).

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

10133376 is a wasteful number, since it uses less digits than its factorization.

10133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 10133376 is about 3183.2964046724. The cubic root of 10133376 is about 216.3970748190.

10133376 divided by its sum of digits (24) gives a palindrome (422224).

Adding to 10133376 its reverse (67333101), we get a palindrome (77466477).

It can be divided in two parts, 10 and 133376, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 10133376 in words is "ten million, one hundred thirty-three thousand, three hundred seventy-six".