135516350040201 has 45 divisors (see below), whose sum is σ = 219210219762501. Its totient is φ = 83393838785088.

The previous prime is 135516350040199. The next prime is 135516350040223. The reversal of 135516350040201 is 102040053615531.

The square root of 135516350040201 is 11641149.

It is a perfect power (a square), and thus also a powerful number.

135516350040201 is a `hidden beast` number, since 1 + 3 + 5 + 51 + 63 + 500 + 40 + 2 + 0 + 1 = 666.

135516350040201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12680357780601 + 122835992259600 = 3560949^2 + 11083140^2 .

It is not a de Polignac number, because 135516350040201 - 2¹ = 135516350040199 is a prime.

It is a super-2 number, since 2×135516350040201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135516350440201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1361964685 + ... + 1362064181.

Almost surely, 2^{135516350040201} is an apocalyptic number.

135516350040201 is the 11641149-th square number.

135516350040201 is the 5820575-th centered octagonal number.

It is an amenable number.

135516350040201 is a deficient number, since it is larger than the sum of its proper divisors (83693869722300).

135516350040201 is an frugal number, since it uses more digits than its factorization.

135516350040201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199032 (or 99513 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135516350040201 in words is "one hundred thirty-five trillion, five hundred sixteen billion, three hundred fifty million, forty thousand, two hundred one".