135519616512 has 640 divisors, whose sum is σ = 475169587200. Its totient is φ = 37335195648.

The previous prime is 135519616501. The next prime is 135519616579. The reversal of 135519616512 is 215616915531.

135519616512 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 19 + 616 + 5 + 12 = 666.

It is a super-2 number, since 2×135519616512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377491789 + ... + 377492147.

It is an arithmetic number, because the mean of its divisors is an integer number (742452480).

Almost surely, 2^135519616512 is an apocalyptic number.

135519616512 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 135519616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237584793600).

135519616512 is an abundant number, since it is smaller than the sum of its proper divisors (339649970688).

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

135519616512 is an equidigital number, since it uses as much as digits as its factorization.

135519616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its digits is 243000, while the sum is 45.

The spelling of 135519616512 in words is "one hundred thirty-five billion, five hundred nineteen million, six hundred sixteen thousand, five hundred twelve".