135057888 has 192 divisors, whose sum is σ = 456261120. Its totient is φ = 38071296.

The previous prime is 135057887. The next prime is 135057893. The reversal of 135057888 is 888750531.

It is a happy number.

It is a super-2 number, since 2×135057888² = 36481266222041088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135057887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828495 + ... + 828657.

It is an arithmetic number, because the mean of its divisors is an integer number (2376360).

Almost surely, 2^135057888 is an apocalyptic number.

135057888 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 135057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228130560).

135057888 is an abundant number, since it is smaller than the sum of its proper divisors (321203232).

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

135057888 is a wasteful number, since it uses less digits than its factorization.

135057888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 135057888 is about 11621.4408745215. The cubic root of 135057888 is about 513.0660972937.

The spelling of 135057888 in words is "one hundred thirty-five million, fifty-seven thousand, eight hundred eighty-eight".