135151618342624 has 96 divisors (see below), whose sum is σ = 290841551786016. Its totient is φ = 61443004170240.

The previous prime is 135151618342613. The next prime is 135151618342661. The reversal of 135151618342624 is 426243816151531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499358824 + ... + 499629400.

It is an arithmetic number, because the mean of its divisors is an integer number (3029599497771).

Almost surely, 2^{135151618342624} 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 135151618342624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145420775893008).

135151618342624 is an abundant number, since it is smaller than the sum of its proper divisors (155689933443392).

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

135151618342624 is a wasteful number, since it uses less digits than its factorization.

135151618342624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288588 (or 288580 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 135151618342624 in words is "one hundred thirty-five trillion, one hundred fifty-one billion, six hundred eighteen million, three hundred forty-two thousand, six hundred twenty-four".