13145123552 has 96 divisors (see below), whose sum is σ = 29884982400. Its totient is φ = 5628787200.

The previous prime is 13145123543. The next prime is 13145123587. The reversal of 13145123552 is 25532154131.

It is a super-4 number, since 4×13145123552⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205099 + ... + 1215957.

It is an arithmetic number, because the mean of its divisors is an integer number (311301900).

Almost surely, 2^13145123552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13145123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942491200).

13145123552 is an abundant number, since it is smaller than the sum of its proper divisors (16739858848).

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

13145123552 is a wasteful number, since it uses less digits than its factorization.

13145123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080 (or 11072 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

Adding to 13145123552 its reverse (25532154131), we get a palindrome (38677277683).

The spelling of 13145123552 in words is "thirteen billion, one hundred forty-five million, one hundred twenty-three thousand, five hundred fifty-two".