135512145344 has 84 divisors (see below), whose sum is σ = 284106786624. Its totient is φ = 64121683968.

The previous prime is 135512145331. The next prime is 135512145359. The reversal of 135512145344 is 443541215531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 135512145298 and 135512145307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26636369 + ... + 26641455.

Almost surely, 2^135512145344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135512145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053393312).

135512145344 is an abundant number, since it is smaller than the sum of its proper divisors (148594641280).

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

135512145344 is a wasteful number, since it uses less digits than its factorization.

135512145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6261 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The spelling of 135512145344 in words is "one hundred thirty-five billion, five hundred twelve million, one hundred forty-five thousand, three hundred forty-four".