1064134500 has 384 divisors, whose sum is σ = 3760114176. Its totient is φ = 232320000.

The previous prime is 1064134493. The next prime is 1064134507. The reversal of 1064134500 is 54314601.

It is an interprime number because it is at equal distance from previous prime (1064134493) and next prime (1064134507).

It is a super-2 number, since 2×1064134500² = 2264764468180500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064134507) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25954480 + ... + 25954520.

It is an arithmetic number, because the mean of its divisors is an integer number (9791964).

Almost surely, 2^1064134500 is an apocalyptic number.

1064134500 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 1064134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880057088).

1064134500 is an abundant number, since it is smaller than the sum of its proper divisors (2695979676).

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

1064134500 is a wasteful number, since it uses less digits than its factorization.

1064134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

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

The square root of 1064134500 is about 32621.0744764792. The cubic root of 1064134500 is about 1020.9367595705.

The spelling of 1064134500 in words is "one billion, sixty-four million, one hundred thirty-four thousand, five hundred".