1355137540705 has 16 divisors (see below), whose sum is σ = 1760144302224. Its totient is φ = 995637162240.

The previous prime is 1355137540697. The next prime is 1355137540777. The reversal of 1355137540705 is 5070457315531.

It can be written as a sum of positive squares in 8 ways, for example, as 46191036241 + 1308946504464 = 214921^2 + 1144092^2 .

It is not a de Polignac number, because 1355137540705 - 2³ = 1355137540697 is a prime.

It is a Duffinian number.

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, 52901586 + ... + 52927195.

It is an arithmetic number, because the mean of its divisors is an integer number (110009018889).

Almost surely, 2^{1355137540705} is an apocalyptic number.

It is an amenable number.

1355137540705 is a deficient number, since it is larger than the sum of its proper divisors (405006761519).

1355137540705 is a wasteful number, since it uses less digits than its factorization.

1355137540705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105828996.

The product of its (nonzero) digits is 1102500, while the sum is 46.

The spelling of 1355137540705 in words is "one trillion, three hundred fifty-five billion, one hundred thirty-seven million, five hundred forty thousand, seven hundred five".