13434011136 has 640 divisors, whose sum is σ = 50046796800. Its totient is φ = 3463741440.

The previous prime is 13434011131. The next prime is 13434011147. The reversal of 13434011136 is 63111043431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434011131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74220966 + ... + 74221146.

It is an arithmetic number, because the mean of its divisors is an integer number (78198120).

Almost surely, 2^13434011136 is an apocalyptic number.

13434011136 is a gapful number since it is divisible by the number (16) 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 13434011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023398400).

13434011136 is an abundant number, since it is smaller than the sum of its proper divisors (36612785664).

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

13434011136 is a wasteful number, since it uses less digits than its factorization.

13434011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13434011136 its reverse (63111043431), we get a palindrome (76545054567).

The spelling of 13434011136 in words is "thirteen billion, four hundred thirty-four million, eleven thousand, one hundred thirty-six".