13145529600 has 324 divisors, whose sum is σ = 53713916256. Its totient is φ = 3004600320.

The previous prime is 13145529577. The next prime is 13145529629. The reversal of 13145529600 is 692554131.

13145529600 is a `hidden beast` number, since 1 + 3 + 1 + 45 + 5 + 2 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386899 + ... + 419501.

Almost surely, 2^13145529600 is an apocalyptic number.

13145529600 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 13145529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856958128).

13145529600 is an abundant number, since it is smaller than the sum of its proper divisors (40568386656).

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

13145529600 is a wasteful number, since it uses less digits than its factorization.

13145529600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32642 (or 32620 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13145529600 in words is "thirteen billion, one hundred forty-five million, five hundred twenty-nine thousand, six hundred".