135908997061320 has 768 divisors, whose sum is σ = 539156702822400. Its totient is φ = 28983184957440.

The previous prime is 135908997061297. The next prime is 135908997061391. The reversal of 135908997061320 is 23160799809531.

135908997061320 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 0 + 8 + 9 + 9 + 7 + 0 + 613 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6958619955 + ... + 6958639485.

It is an arithmetic number, because the mean of its divisors is an integer number (702026956800).

Almost surely, 2^{135908997061320} is an apocalyptic number.

135908997061320 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 135908997061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269578351411200).

135908997061320 is an abundant number, since it is smaller than the sum of its proper divisors (403247705761080).

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

135908997061320 is a wasteful number, since it uses less digits than its factorization.

135908997061320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20978 (or 20971 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 135908997061320 in words is "one hundred thirty-five trillion, nine hundred eight billion, nine hundred ninety-seven million, sixty-one thousand, three hundred twenty".