135616164121 has 15 divisors (see below), whose sum is σ = 139903357451. Its totient is φ = 131460338736.

The previous prime is 135616164119. The next prime is 135616164139. The reversal of 135616164121 is 121461616531.

It is a happy number.

The square root of 135616164121 is 368261.

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

It can be written as a sum of positive squares in 7 ways, for example, as 20681603721 + 114934560400 = 143811^2 + 339020^2 .

It is not a de Polignac number, because 135616164121 - 2¹ = 135616164119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (135616164181) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 504149175 + ... + 504149443.

Almost surely, 2^135616164121 is an apocalyptic number.

135616164121 is the 368261-st square number.

135616164121 is the 184131-st centered octagonal number.

It is an amenable number.

135616164121 is a deficient number, since it is larger than the sum of its proper divisors (4287193330).

135616164121 is an frugal number, since it uses more digits than its factorization.

135616164121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 306 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The spelling of 135616164121 in words is "one hundred thirty-five billion, six hundred sixteen million, one hundred sixty-four thousand, one hundred twenty-one".