135303641010177 has 32 divisors (see below), whose sum is σ = 193050623582208. Its totient is φ = 83997198464256.

The previous prime is 135303641010127. The next prime is 135303641010191. The reversal of 135303641010177 is 771010146303531.

It is not a de Polignac number, because 135303641010177 - 2⁶ = 135303641010113 is a prime.

It is a super-2 number, since 2×135303641010177² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135303641010127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34639813 + ... + 38347410.

It is an arithmetic number, because the mean of its divisors is an integer number (6032831986944).

Almost surely, 2^{135303641010177} is an apocalyptic number.

135303641010177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135303641010177 is a deficient number, since it is larger than the sum of its proper divisors (57746982572031).

135303641010177 is a wasteful number, since it uses less digits than its factorization.

135303641010177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72987629.

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 135303641010177 in words is "one hundred thirty-five trillion, three hundred three billion, six hundred forty-one million, ten thousand, one hundred seventy-seven".