1002134400 has 192 divisors, whose sum is σ = 3328953600. Its totient is φ = 264960000.

The previous prime is 1002134389. The next prime is 1002134401. The reversal of 1002134400 is 44312001.

1002134400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002134400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002134401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334025 + ... + 1334775.

It is an arithmetic number, because the mean of its divisors is an integer number (17338300).

Almost surely, 2^1002134400 is an apocalyptic number.

1002134400 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 1002134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664476800).

1002134400 is an abundant number, since it is smaller than the sum of its proper divisors (2326819200).

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

1002134400 is a wasteful number, since it uses less digits than its factorization.

1002134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002134400 is about 31656.5064402249. The cubic root of 1002134400 is about 1000.7109610812.

Adding to 1002134400 its reverse (44312001), we get a palindrome (1046446401).

The spelling of 1002134400 in words is "one billion, two million, one hundred thirty-four thousand, four hundred".