1002134233144 has 64 divisors (see below), whose sum is σ = 2079056678400. Its totient is φ = 449020790400.

The previous prime is 1002134233127. The next prime is 1002134233147. The reversal of 1002134233144 is 4413324312001.

It is a happy number.

1002134233144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002134233144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002134233147) 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, 49217814 + ... + 49238170.

It is an arithmetic number, because the mean of its divisors is an integer number (32485260600).

Almost surely, 2^{1002134233144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002134233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039528339200).

1002134233144 is an abundant number, since it is smaller than the sum of its proper divisors (1076922445256).

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

1002134233144 is a wasteful number, since it uses less digits than its factorization.

1002134233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28324 (or 28320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1002134233144 its reverse (4413324312001), we get a palindrome (5415458545145).

The spelling of 1002134233144 in words is "one trillion, two billion, one hundred thirty-four million, two hundred thirty-three thousand, one hundred forty-four".