34132134300 has 144 divisors (see below), whose sum is σ = 107986755072. Its totient is φ = 8255001600.

The previous prime is 34132134287. The next prime is 34132134317. The reversal of 34132134300 is 343123143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416957 + ... + 1440843.

Almost surely, 2^34132134300 is an apocalyptic number.

34132134300 is a gapful number since it is divisible by the number (30) 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 34132134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53993377536).

34132134300 is an abundant number, since it is smaller than the sum of its proper divisors (73854620772).

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

34132134300 is a wasteful number, since it uses less digits than its factorization.

34132134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24348 (or 24341 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34132134300 its reverse (343123143), we get a palindrome (34475257443).

The spelling of 34132134300 in words is "thirty-four billion, one hundred thirty-two million, one hundred thirty-four thousand, three hundred".