23145135200 has 72 divisors (see below), whose sum is σ = 61639726680. Its totient is φ = 8416409600.

The previous prime is 23145135199. The next prime is 23145135203. The reversal of 23145135200 is 253154132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23145135200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145135203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1306265 + ... + 1323864.

It is an arithmetic number, because the mean of its divisors is an integer number (856107315).

Almost surely, 2^23145135200 is an apocalyptic number.

23145135200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23145135200 is an abundant number, since it is smaller than the sum of its proper divisors (38494591480).

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

23145135200 is a wasteful number, since it uses less digits than its factorization.

23145135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630160 (or 2630147 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 23145135200 its reverse (253154132), we get a palindrome (23398289332).

The spelling of 23145135200 in words is "twenty-three billion, one hundred forty-five million, one hundred thirty-five thousand, two hundred".