135345510612 has 144 divisors (see below), whose sum is σ = 372872495632. Its totient is φ = 41146859520.

The previous prime is 135345510607. The next prime is 135345510631. The reversal of 135345510612 is 216015543531.

135345510612 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 5 + 5 + 1 + 0 + 612 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38397970116 + 96947540496 = 195954^2 + 311364^2 .

It is a super-2 number, since 2×135345510612² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13294068 + ... + 13304244.

Almost surely, 2^135345510612 is an apocalyptic number.

135345510612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135345510612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186436247816).

135345510612 is an abundant number, since it is smaller than the sum of its proper divisors (237526985020).

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

135345510612 is a wasteful number, since it uses less digits than its factorization.

135345510612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10533 counting only the distinct ones).

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

The spelling of 135345510612 in words is "one hundred thirty-five billion, three hundred forty-five million, five hundred ten thousand, six hundred twelve".