1065135282144 has 48 divisors (see below), whose sum is σ = 2799049478400. Its totient is φ = 354655333760.

The previous prime is 1065135282097. The next prime is 1065135282173. The reversal of 1065135282144 is 4412825315601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1065135282144² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065135282096 and 1065135282105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6002094 + ... + 6177005.

It is an arithmetic number, because the mean of its divisors is an integer number (58313530800).

Almost surely, 2^{1065135282144} is an apocalyptic number.

It is an amenable number.

1065135282144 is an abundant number, since it is smaller than the sum of its proper divisors (1733914196256).

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

1065135282144 is a wasteful number, since it uses less digits than its factorization.

1065135282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180023 (or 12180015 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 1065135282144 in words is "one trillion, sixty-five billion, one hundred thirty-five million, two hundred eighty-two thousand, one hundred forty-four".