135375817122 has 162 divisors, whose sum is σ = 369855690867. Its totient is φ = 35666047872.

The previous prime is 135375817091. The next prime is 135375817123. The reversal of 135375817122 is 221718573531.

135375817122 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 581 + 7 + 12 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 12665026521 + 122710790601 = 112539^2 + 350301^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=260169.

It is a super-2 number, since 2×135375817122² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135375817123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 142051798 + ... + 142052750.

Almost surely, 2^135375817122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135375817122

135375817122 is an abundant number, since it is smaller than the sum of its proper divisors (234479873745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135375817122 is an equidigital number, since it uses as much as digits as its factorization.

135375817122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 978 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 135375817122 in words is "one hundred thirty-five billion, three hundred seventy-five million, eight hundred seventeen thousand, one hundred twenty-two".