135727488 has 320 divisors, whose sum is σ = 466527600. Its totient is φ = 38817792.

The previous prime is 135727457. The next prime is 135727519. The reversal of 135727488 is 884727531.

135727488 is a `hidden beast` number, since 1 + 3 + 572 + 74 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135727457) and next prime (135727519).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560870 + ... + 2560922.

Almost surely, 2^135727488 is an apocalyptic number.

135727488 is a gapful number since it is divisible by the number (18) 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 135727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

135727488 is an abundant number, since it is smaller than the sum of its proper divisors (330800112).

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

135727488 is a wasteful number, since it uses less digits than its factorization.

135727488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 135727488 is about 11650.2140752863. The cubic root of 135727488 is about 513.9126055696.

The spelling of 135727488 in words is "one hundred thirty-five million, seven hundred twenty-seven thousand, four hundred eighty-eight".