135627456 has 56 divisors (see below), whose sum is σ = 362925360. Its totient is φ = 44695552.

The previous prime is 135627451. The next prime is 135627487. The reversal of 135627456 is 654726531.

It is not an unprimeable number, because it can be changed into a prime (135627451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13120 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (6480810).

Almost surely, 2^135627456 is an apocalyptic number.

135627456 is a gapful number since it is divisible by the number (16) 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 135627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181462680).

135627456 is an abundant number, since it is smaller than the sum of its proper divisors (227297904).

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

135627456 is an equidigital number, since it uses as much as digits as its factorization.

135627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8031 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 135627456 is about 11645.9201439818. The cubic root of 135627456 is about 513.7863222820.

The spelling of 135627456 in words is "one hundred thirty-five million, six hundred twenty-seven thousand, four hundred fifty-six".