13062145200 has 360 divisors, whose sum is σ = 46892110320. Its totient is φ = 3103027200.

The previous prime is 13062145127. The next prime is 13062145241. The reversal of 13062145200 is 254126031.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5880090 + ... + 5882310.

It is an arithmetic number, because the mean of its divisors is an integer number (130255862).

Almost surely, 2^13062145200 is an apocalyptic number.

13062145200 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 13062145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23446055160).

13062145200 is an abundant number, since it is smaller than the sum of its proper divisors (33829965120).

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

13062145200 is a wasteful number, since it uses less digits than its factorization.

13062145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 13062145200 in words is "thirteen billion, sixty-two million, one hundred forty-five thousand, two hundred".