1056145006140 has 96 divisors (see below), whose sum is σ = 3379899930624. Its totient is φ = 241387722240.

The previous prime is 1056145006117. The next prime is 1056145006171. The reversal of 1056145006140 is 416005416501.

It is a super-2 number, since 2×1056145006140² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6529645 + ... + 6689435.

It is an arithmetic number, because the mean of its divisors is an integer number (35207290944).

Almost surely, 2^{1056145006140} is an apocalyptic number.

1056145006140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056145006140 is an abundant number, since it is smaller than the sum of its proper divisors (2323754924484).

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

1056145006140 is a wasteful number, since it uses less digits than its factorization.

1056145006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175547 (or 175545 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1056145006140 in words is "one trillion, fifty-six billion, one hundred forty-five million, six thousand, one hundred forty".