20134413000 has 320 divisors, whose sum is σ = 75798843120. Its totient is φ = 4955904000.

The previous prime is 20134412897. The next prime is 20134413001. The reversal of 20134413000 is 31443102.

20134413000 is a `hidden beast` number, since 20 + 1 + 344 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 759443364 + 19374969636 = 27558^2 + 139194^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20134413001) 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 79 ways as a sum of consecutive naturals, for example, 1043440 + ... + 1062560.

Almost surely, 2^20134413000 is an apocalyptic number.

20134413000 is a gapful number since it is divisible by the number (20) 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 20134413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37899421560).

20134413000 is an abundant number, since it is smaller than the sum of its proper divisors (55664430120).

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

20134413000 is a wasteful number, since it uses less digits than its factorization.

20134413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19167 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20134413000 its reverse (31443102), we get a palindrome (20165856102).

The spelling of 20134413000 in words is "twenty billion, one hundred thirty-four million, four hundred thirteen thousand".