135577008 has 120 divisors (see below), whose sum is σ = 456518400. Its totient is φ = 36692352.

The previous prime is 135576983. The next prime is 135577031. The reversal of 135577008 is 800775531.

It is a super-2 number, since 2×135577008² = 36762250196464128, which contains 22 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 23 ways as a sum of consecutive naturals, for example, 15613 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (3804320).

Almost surely, 2^135577008 is an apocalyptic number.

135577008 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 135577008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228259200).

135577008 is an abundant number, since it is smaller than the sum of its proper divisors (320941392).

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

135577008 is a wasteful number, since it uses less digits than its factorization.

135577008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 135577008 is about 11643.7540338157. The cubic root of 135577008 is about 513.7226117141.

The spelling of 135577008 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, eight".