135229920 has 192 divisors, whose sum is σ = 491774976. Its totient is φ = 30597120.

The previous prime is 135229891. The next prime is 135229921. The reversal of 135229920 is 29922531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135229921) 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, 561000 + ... + 561240.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2^135229920 is an apocalyptic number.

135229920 is a gapful number since it is divisible by the number (10) 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 135229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

135229920 is an abundant number, since it is smaller than the sum of its proper divisors (356545056).

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

135229920 is a wasteful number, since it uses less digits than its factorization.

135229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 135229920 is about 11628.8400109383. The cubic root of 135229920 is about 513.2838467316.

The spelling of 135229920 in words is "one hundred thirty-five million, two hundred twenty-nine thousand, nine hundred twenty".