135688410624 has 640 divisors, whose sum is σ = 431172403200. Its totient is φ = 37543772160.

The previous prime is 135688410563. The next prime is 135688410647. The reversal of 135688410624 is 426014886531.

It is a super-2 number, since 2×135688410624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 976175547 + ... + 976175685.

It is an arithmetic number, because the mean of its divisors is an integer number (673706880).

Almost surely, 2^135688410624 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 135688410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215586201600).

135688410624 is an abundant number, since it is smaller than the sum of its proper divisors (295483992576).

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

135688410624 is a wasteful number, since it uses less digits than its factorization.

135688410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 135688410624 in words is "one hundred thirty-five billion, six hundred eighty-eight million, four hundred ten thousand, six hundred twenty-four".