135020286720 has 1728 divisors, whose sum is σ = 582832373760. Its totient is φ = 29561241600.

The previous prime is 135020286683. The next prime is 135020286803. The reversal of 135020286720 is 27682020531.

135020286720 is a `hidden beast` number, since 1 + 3 + 502 + 0 + 2 + 86 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2015228127 + ... + 2015228193.

Almost surely, 2^135020286720 is an apocalyptic number.

135020286720 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 135020286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291416186880).

135020286720 is an abundant number, since it is smaller than the sum of its proper divisors (447812087040).

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

135020286720 is a wasteful number, since it uses less digits than its factorization.

135020286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 135020286720 in words is "one hundred thirty-five billion, twenty million, two hundred eighty-six thousand, seven hundred twenty".