13146030600 has 192 divisors, whose sum is σ = 42278544000. Its totient is φ = 3375052800.

The previous prime is 13146030533. The next prime is 13146030617. The reversal of 13146030600 is 603064131.

It is a super-2 number, since 2×13146030600² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7637740 + ... + 7639460.

It is an arithmetic number, because the mean of its divisors is an integer number (220200750).

Almost surely, 2^13146030600 is an apocalyptic number.

13146030600 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 13146030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139272000).

13146030600 is an abundant number, since it is smaller than the sum of its proper divisors (29132513400).

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

13146030600 is a wasteful number, since it uses less digits than its factorization.

13146030600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13146030600 its reverse (603064131), we get a palindrome (13749094731).

The spelling of 13146030600 in words is "thirteen billion, one hundred forty-six million, thirty thousand, six hundred".