135102687160320 has 3072 divisors, whose sum is σ = 573640704000000. Its totient is φ = 29797731532800.

The previous prime is 135102687160307. The next prime is 135102687160349. The reversal of 135102687160320 is 23061786201531.

It is a happy number.

135102687160320 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 268 + 7 + 1 + 60 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 356471469891 + ... + 356471470269.

It is an arithmetic number, because the mean of its divisors is an integer number (186732000000).

Almost surely, 2^{135102687160320} is an apocalyptic number.

135102687160320 is a gapful number since it is divisible by the number (10) 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 135102687160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352000000).

135102687160320 is an abundant number, since it is smaller than the sum of its proper divisors (438538016839680).

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

135102687160320 is a wasteful number, since it uses less digits than its factorization.

135102687160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 135102687160320 in words is "one hundred thirty-five trillion, one hundred two billion, six hundred eighty-seven million, one hundred sixty thousand, three hundred twenty".