13290146400 has 288 divisors, whose sum is σ = 45285101568. Its totient is φ = 3381350400.

The previous prime is 13290146399. The next prime is 13290146407. The reversal of 13290146400 is 464109231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13290146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429977 + ... + 5432423.

It is an arithmetic number, because the mean of its divisors is an integer number (157239936).

Almost surely, 2^13290146400 is an apocalyptic number.

13290146400 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 13290146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642550784).

13290146400 is an abundant number, since it is smaller than the sum of its proper divisors (31994955168).

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

13290146400 is a wasteful number, since it uses less digits than its factorization.

13290146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13290146400 in words is "thirteen billion, two hundred ninety million, one hundred forty-six thousand, four hundred".