135987102720 has 880 divisors, whose sum is σ = 562586344320. Its totient is φ = 30767579136.

The previous prime is 135987102709. The next prime is 135987102733. The reversal of 135987102720 is 27201789531.

135987102720 is a `hidden beast` number, since 1 + 3 + 598 + 7 + 10 + 27 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 403522392 + ... + 403522728.

It is an arithmetic number, because the mean of its divisors is an integer number (639302664).

Almost surely, 2^135987102720 is an apocalyptic number.

135987102720 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 135987102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281293172160).

135987102720 is an abundant number, since it is smaller than the sum of its proper divisors (426599241600).

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

135987102720 is a wasteful number, since it uses less digits than its factorization.

135987102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 135987102720 in words is "one hundred thirty-five billion, nine hundred eighty-seven million, one hundred two thousand, seven hundred twenty".