135746520 has 256 divisors, whose sum is σ = 518676480. Its totient is φ = 27648000.

The previous prime is 135746519. The next prime is 135746537. The reversal of 135746520 is 25647531.

135746520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135746520² = 36854235384220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338320 + ... + 338720.

It is an arithmetic number, because the mean of its divisors is an integer number (2026080).

Almost surely, 2^135746520 is an apocalyptic number.

135746520 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 135746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259338240).

135746520 is an abundant number, since it is smaller than the sum of its proper divisors (382929960).

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

135746520 is a wasteful number, since it uses less digits than its factorization.

135746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 135746520 is about 11651.0308556797. The cubic root of 135746520 is about 513.9366250902.

The spelling of 135746520 in words is "one hundred thirty-five million, seven hundred forty-six thousand, five hundred twenty".