135614850624 has 168 divisors, whose sum is σ = 425197536192. Its totient is φ = 40984519680.

The previous prime is 135614850607. The next prime is 135614850671. The reversal of 135614850624 is 426058416531.

135614850624 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 14 + 8 + 5 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135614850624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334637 + ... + 2392019.

Almost surely, 2^135614850624 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 135614850624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212598768096).

135614850624 is an abundant number, since it is smaller than the sum of its proper divisors (289582685568).

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

135614850624 is a wasteful number, since it uses less digits than its factorization.

135614850624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57785 (or 57772 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135614850624 in words is "one hundred thirty-five billion, six hundred fourteen million, eight hundred fifty thousand, six hundred twenty-four".