135146920 has 64 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 52939008.

The previous prime is 135146917. The next prime is 135146929. The reversal of 135146920 is 29641531.

It is not an unprimeable number, because it can be changed into a prime (135146929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605929 + ... + 606151.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2^135146920 is an apocalyptic number.

135146920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135146920 is an abundant number, since it is smaller than the sum of its proper divisors (175317080).

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

135146920 is a wasteful number, since it uses less digits than its factorization.

135146920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 135146920 is about 11625.2707495353. The cubic root of 135146920 is about 513.1788125835.

The spelling of 135146920 in words is "one hundred thirty-five million, one hundred forty-six thousand, nine hundred twenty".