1540136135361 has 32 divisors (see below), whose sum is σ = 2114693481472. Its totient is φ = 996476281920.

The previous prime is 1540136135357. The next prime is 1540136135393. The reversal of 1540136135361 is 1635316310451.

It is not a de Polignac number, because 1540136135361 - 2² = 1540136135357 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540136135861) by changing a digit.

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, 122391876 + ... + 122404458.

It is an arithmetic number, because the mean of its divisors is an integer number (66084171296).

Almost surely, 2^{1540136135361} is an apocalyptic number.

It is an amenable number.

1540136135361 is a deficient number, since it is larger than the sum of its proper divisors (574557346111).

1540136135361 is a wasteful number, since it uses less digits than its factorization.

1540136135361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613.

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 1540136135361 in words is "one trillion, five hundred forty billion, one hundred thirty-six million, one hundred thirty-five thousand, three hundred sixty-one".