135829408 has 48 divisors (see below), whose sum is σ = 314175456. Its totient is φ = 56989440.

The previous prime is 135829381. The next prime is 135829409. The reversal of 135829408 is 804928531.

It is not an unprimeable number, because it can be changed into a prime (135829409) 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, 10266 + ... + 19417.

It is an arithmetic number, because the mean of its divisors is an integer number (6545322).

Almost surely, 2^135829408 is an apocalyptic number.

It is an amenable number.

135829408 is an abundant number, since it is smaller than the sum of its proper divisors (178346048).

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

135829408 is a wasteful number, since it uses less digits than its factorization.

135829408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29717 (or 29709 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 135829408 is about 11654.5874229850. The cubic root of 135829408 is about 514.0412085237.

The spelling of 135829408 in words is "one hundred thirty-five million, eight hundred twenty-nine thousand, four hundred eight".