135292920 has 256 divisors, whose sum is σ = 501120000. Its totient is φ = 29127168.

The previous prime is 135292909. The next prime is 135292957. The reversal of 135292920 is 29292531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781954 + ... + 782126.

It is an arithmetic number, because the mean of its divisors is an integer number (1957500).

Almost surely, 2^135292920 is an apocalyptic number.

135292920 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 135292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560000).

135292920 is an abundant number, since it is smaller than the sum of its proper divisors (365827080).

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

135292920 is a wasteful number, since it uses less digits than its factorization.

135292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

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

The square root of 135292920 is about 11631.5484781692. The cubic root of 135292920 is about 513.3635427584.

The spelling of 135292920 in words is "one hundred thirty-five million, two hundred ninety-two thousand, nine hundred twenty".