135070237618624 has 224 divisors, whose sum is σ = 342641036653056. Its totient is φ = 51302966906880.

The previous prime is 135070237618619. The next prime is 135070237618649. The reversal of 135070237618624 is 426816732070531.

135070237618624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39358927 + ... + 42652849.

Almost surely, 2^{135070237618624} is an apocalyptic number.

135070237618624 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 135070237618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171320518326528).

135070237618624 is an abundant number, since it is smaller than the sum of its proper divisors (207570799034432).

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

135070237618624 is a wasteful number, since it uses less digits than its factorization.

135070237618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294163 (or 3294153 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 135070237618624 in words is "one hundred thirty-five trillion, seventy billion, two hundred thirty-seven million, six hundred eighteen thousand, six hundred twenty-four".