135587338920 has 576 divisors, whose sum is σ = 504680576400. Its totient is φ = 31507660800.

The previous prime is 135587338883. The next prime is 135587338963. The reversal of 135587338920 is 29833785531.

135587338920 is a `hidden beast` number, since 1 + 3 + 5 + 587 + 3 + 38 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25069655556 + 110517683364 = 158334^2 + 332442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228646144 + ... + 228646736.

Almost surely, 2^135587338920 is an apocalyptic number.

135587338920 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 135587338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252340288200).

135587338920 is an abundant number, since it is smaller than the sum of its proper divisors (369093237480).

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

135587338920 is a wasteful number, since it uses less digits than its factorization.

135587338920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 135587338920 in words is "one hundred thirty-five billion, five hundred eighty-seven million, three hundred thirty-eight thousand, nine hundred twenty".