135678742504704 has 432 divisors, whose sum is σ = 485791871918080. Its totient is φ = 35540390891520.

The previous prime is 135678742504699. The next prime is 135678742504727. The reversal of 135678742504704 is 407405247876531.

135678742504704 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 7 + 87 + 42 + 504 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2357949 + ... + 16640835.

Almost surely, 2^{135678742504704} is an apocalyptic number.

135678742504704 is a gapful number since it is divisible by the number (14) 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 135678742504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242895935959040).

135678742504704 is an abundant number, since it is smaller than the sum of its proper divisors (350113129413376).

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

135678742504704 is a wasteful number, since it uses less digits than its factorization.

135678742504704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14282966 (or 14282949 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 135678742504704 in words is "one hundred thirty-five trillion, six hundred seventy-eight billion, seven hundred forty-two million, five hundred four thousand, seven hundred four".