135624701856168 has 128 divisors (see below), whose sum is σ = 431453472768000. Its totient is φ = 38669017083840.

The previous prime is 135624701856143. The next prime is 135624701856169. The reversal of 135624701856168 is 861658107426531.

It is a happy number.

135624701856168 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 4 + 7 + 0 + 1 + 8 + 5 + 616 + 8 = 666.

135624701856168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (135624701856169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92907148 + ... + 94355643.

It is an arithmetic number, because the mean of its divisors is an integer number (3370730256000).

Almost surely, 2^{135624701856168} is an apocalyptic number.

135624701856168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135624701856168 is an abundant number, since it is smaller than the sum of its proper divisors (295828770911832).

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

135624701856168 is a wasteful number, since it uses less digits than its factorization.

135624701856168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187263292 (or 187263282 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 135624701856168 in words is "one hundred thirty-five trillion, six hundred twenty-four billion, seven hundred one million, eight hundred fifty-six thousand, one hundred sixty-eight".