134564100000 has 576 divisors, whose sum is σ = 487069075584. Its totient is φ = 32524800000.

The previous prime is 134564099987. The next prime is 134564100017. The reversal of 134564100000 is 1465431.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399299832 + ... + 399300168.

It is an arithmetic number, because the mean of its divisors is an integer number (845606034).

Almost surely, 2^134564100000 is an apocalyptic number.

134564100000 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 134564100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243534537792).

134564100000 is an abundant number, since it is smaller than the sum of its proper divisors (352504975584).

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

134564100000 is an frugal number, since it uses more digits than its factorization.

134564100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 134564100000 its reverse (1465431), we get a palindrome (134565565431).

The spelling of 134564100000 in words is "one hundred thirty-four billion, five hundred sixty-four million, one hundred thousand".