23145120 has 72 divisors (see below), whose sum is σ = 78987636. Its totient is φ = 6171648.

The previous prime is 23145119. The next prime is 23145167. The reversal of 23145120 is 2154132.

It can be written as a sum of positive squares in 2 ways, for example, as 21790224 + 1354896 = 4668^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 23145093 and 23145102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6597 + ... + 9476.

Almost surely, 2^23145120 is an apocalyptic number.

23145120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23145120 is an abundant number, since it is smaller than the sum of its proper divisors (55842516).

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

23145120 is a wasteful number, since it uses less digits than its factorization.

23145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23145120 is about 4810.9375385677. The cubic root of 23145120 is about 284.9835632257.

Adding to 23145120 its reverse (2154132), we get a palindrome (25299252).

The spelling of 23145120 in words is "twenty-three million, one hundred forty-five thousand, one hundred twenty".