135127872 has 112 divisors (see below), whose sum is σ = 433425600. Its totient is φ = 40942080.

The previous prime is 135127831. The next prime is 135127913. The reversal of 135127872 is 278721531.

135127872 is a `hidden beast` number, since 1 + 3 + 512 + 78 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (135127831) and next prime (135127913).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15454 + ... + 22562.

Almost surely, 2^135127872 is an apocalyptic number.

135127872 is a gapful number since it is divisible by the number (12) 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 135127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216712800).

135127872 is an abundant number, since it is smaller than the sum of its proper divisors (298297728).

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

135127872 is a wasteful number, since it uses less digits than its factorization.

135127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7125 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 135127872 is about 11624.4514709297. The cubic root of 135127872 is about 513.1547018126.

The spelling of 135127872 in words is "one hundred thirty-five million, one hundred twenty-seven thousand, eight hundred seventy-two".