135885600 has 252 divisors, whose sum is σ = 499503186. Its totient is φ = 36080640.

The previous prime is 135885583. The next prime is 135885611. The reversal of 135885600 is 6588531.

135885600 is a `hidden beast` number, since 13 + 5 + 88 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80353296 + 55532304 = 8964^2 + 7452^2 .

It is a super-4 number, since 4×135885600⁴ (a number of 34 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583084 + ... + 583316.

Almost surely, 2^135885600 is an apocalyptic number.

135885600 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 135885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249751593).

135885600 is an abundant number, since it is smaller than the sum of its proper divisors (363617586).

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

135885600 is an equidigital number, since it uses as much as digits as its factorization.

135885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 135885600 is about 11656.9978982584. The cubic root of 135885600 is about 514.1120842438.

The spelling of 135885600 in words is "one hundred thirty-five million, eight hundred eighty-five thousand, six hundred".