1002145351032 has 96 divisors (see below), whose sum is σ = 3152729030880. Its totient is φ = 281633345280.

The previous prime is 1002145351007. The next prime is 1002145351037. The reversal of 1002145351032 is 2301535412001.

1002145351032 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 145 + 3 + 510 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1002145350987 and 1002145351005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002145351037) 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, 16267483 + ... + 16328970.

It is an arithmetic number, because the mean of its divisors is an integer number (32840927405).

Almost surely, 2^{1002145351032} is an apocalyptic number.

1002145351032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002145351032 is an abundant number, since it is smaller than the sum of its proper divisors (2150583679848).

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

1002145351032 is a wasteful number, since it uses less digits than its factorization.

1002145351032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596533 (or 32596526 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1002145351032 in words is "one trillion, two billion, one hundred forty-five million, three hundred fifty-one thousand, thirty-two".