1005143135340 has 48 divisors (see below), whose sum is σ = 2817033700320. Its totient is φ = 267787415040.

The previous prime is 1005143135329. The next prime is 1005143135357. The reversal of 1005143135340 is 435313415001.

It is a super-2 number, since 2×1005143135340² (a number of 25 digits) contains 22 as substring.

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 = 1005143135298 and 1005143135307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771401 + ... + 7899680.

It is an arithmetic number, because the mean of its divisors is an integer number (58688202090).

Almost surely, 2^{1005143135340} is an apocalyptic number.

1005143135340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005143135340 is an abundant number, since it is smaller than the sum of its proper divisors (1811890564980).

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

1005143135340 is a wasteful number, since it uses less digits than its factorization.

1005143135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672162 (or 15672160 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1005143135340 in words is "one trillion, five billion, one hundred forty-three million, one hundred thirty-five thousand, three hundred forty".