134434000100 has 72 divisors (see below), whose sum is σ = 293089527528. Its totient is φ = 53521920000.

The previous prime is 134434000097. The next prime is 134434000117. The reversal of 134434000100 is 1000434431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 124546879744 + 9887120356 = 352912^2 + 99434^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33598100 + ... + 33602100.

Almost surely, 2^134434000100 is an apocalyptic number.

134434000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134434000100 is an abundant number, since it is smaller than the sum of its proper divisors (158655527428).

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

134434000100 is a wasteful number, since it uses less digits than its factorization.

134434000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 134434000100 its reverse (1000434431), we get a palindrome (135434434531).

The spelling of 134434000100 in words is "one hundred thirty-four billion, four hundred thirty-four million, one hundred", and thus it is an aban number.