135696407952 has 720 divisors, whose sum is σ = 466230159360. Its totient is φ = 33736614912.

The previous prime is 135696407941. The next prime is 135696407953. The reversal of 135696407952 is 259704696531.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 135696407892 and 135696407901.

It is not an unprimeable number, because it can be changed into a prime (135696407953) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2560309558 + ... + 2560309610.

It is an arithmetic number, because the mean of its divisors is an integer number (647541888).

Almost surely, 2^135696407952 is an apocalyptic number.

135696407952 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 135696407952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233115079680).

135696407952 is an abundant number, since it is smaller than the sum of its proper divisors (330533751408).

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

135696407952 is a wasteful number, since it uses less digits than its factorization.

135696407952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 135696407952 in words is "one hundred thirty-five billion, six hundred ninety-six million, four hundred seven thousand, nine hundred fifty-two".