135345920 has 72 divisors (see below), whose sum is σ = 332231760. Its totient is φ = 52797440.

The previous prime is 135345919. The next prime is 135345953. The reversal of 135345920 is 29543531.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 51191 + ... + 53769.

It is an arithmetic number, because the mean of its divisors is an integer number (4614330).

Almost surely, 2^135345920 is an apocalyptic number.

135345920 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 135345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166115880).

135345920 is an abundant number, since it is smaller than the sum of its proper divisors (196885840).

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

135345920 is an equidigital number, since it uses as much as digits as its factorization.

135345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 135345920 is about 11633.8265415984. The cubic root of 135345920 is about 513.4305694628.

The spelling of 135345920 in words is "one hundred thirty-five million, three hundred forty-five thousand, nine hundred twenty".