13134501600 has 432 divisors, whose sum is σ = 48541893120. Its totient is φ = 3079296000.

The previous prime is 13134501587. The next prime is 13134501613. The reversal of 13134501600 is 610543131.

It is an interprime number because it is at equal distance from previous prime (13134501587) and next prime (13134501613).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9001671 + ... + 9003129.

Almost surely, 2^13134501600 is an apocalyptic number.

13134501600 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 13134501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24270946560).

13134501600 is an abundant number, since it is smaller than the sum of its proper divisors (35407391520).

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

13134501600 is a wasteful number, since it uses less digits than its factorization.

13134501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 13134501600 in words is "thirteen billion, one hundred thirty-four million, five hundred one thousand, six hundred".