1032134500 has 48 divisors (see below), whose sum is σ = 2259614448. Its totient is φ = 411859200.

The previous prime is 1032134479. The next prime is 1032134501. The reversal of 1032134500 is 54312301.

It can be written as a sum of positive squares in 8 ways, for example, as 492129856 + 540004644 = 22184^2 + 23238^2 .

It is not an unprimeable number, because it can be changed into a prime (1032134501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226242 + ... + 230758.

It is an arithmetic number, because the mean of its divisors is an integer number (47075301).

Almost surely, 2^1032134500 is an apocalyptic number.

1032134500 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 1032134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129807224).

1032134500 is an abundant number, since it is smaller than the sum of its proper divisors (1227479948).

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

1032134500 is a wasteful number, since it uses less digits than its factorization.

1032134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1032134500 is about 32126.8501412759. The cubic root of 1032134500 is about 1010.5987692239.

Adding to 1032134500 its reverse (54312301), we get a palindrome (1086446801).

The spelling of 1032134500 in words is "one billion, thirty-two million, one hundred thirty-four thousand, five hundred".