135052420 has 48 divisors (see below), whose sum is σ = 310670640. Its totient is φ = 49086464.

The previous prime is 135052381. The next prime is 135052433. The reversal of 135052420 is 24250531.

It can be written as a sum of positive squares in 8 ways, for example, as 6728836 + 128323584 = 2594^2 + 11328^2 .

It is a super-2 number, since 2×135052420² = 36478312295712800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135052391 and 135052400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (6472305).

Almost surely, 2^135052420 is an apocalyptic number.

135052420 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 135052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155335320).

135052420 is an abundant number, since it is smaller than the sum of its proper divisors (175618220).

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

135052420 is a wasteful number, since it uses less digits than its factorization.

135052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135052420 is about 11621.2056173187. The cubic root of 135052420 is about 513.0591731435.

The spelling of 135052420 in words is "one hundred thirty-five million, fifty-two thousand, four hundred twenty".