1002145345140 has 96 divisors (see below), whose sum is σ = 2852558634240. Its totient is φ = 262840320000.

The previous prime is 1002145345127. The next prime is 1002145345151. The reversal of 1002145345140 is 415435412001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1002145345098 and 1002145345107.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 367476 + ... + 1462644.

It is an arithmetic number, because the mean of its divisors is an integer number (29714152440).

Almost surely, 2^{1002145345140} is an apocalyptic number.

1002145345140 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 1002145345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426279317120).

1002145345140 is an abundant number, since it is smaller than the sum of its proper divisors (1850413289100).

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

1002145345140 is a wasteful number, since it uses less digits than its factorization.

1002145345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095433 (or 1095431 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1002145345140 in words is "one trillion, two billion, one hundred forty-five million, three hundred forty-five thousand, one hundred forty".