135129408 has 56 divisors (see below), whose sum is σ = 361053888. Its totient is φ = 44599296.

The previous prime is 135129391. The next prime is 135129433. The reversal of 135129408 is 804921531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16360 + ... + 23192.

Almost surely, 2^135129408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180526944).

135129408 is an abundant number, since it is smaller than the sum of its proper divisors (225924480).

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

135129408 is a wasteful number, since it uses less digits than its factorization.

135129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 135129408 is about 11624.5175383755. The cubic root of 135129408 is about 513.1566461503.

The spelling of 135129408 in words is "one hundred thirty-five million, one hundred twenty-nine thousand, four hundred eight".