135652320 has 168 divisors, whose sum is σ = 480911256. Its totient is φ = 36142848.

The previous prime is 135652303. The next prime is 135652327. The reversal of 135652320 is 23256531.

135652320 = 485² + 486² + ... + 804².

135652320 is a `hidden beast` number, since 1 + 3 + 5 + 652 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135652327) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116059 + ... + 117221.

It is an arithmetic number, because the mean of its divisors is an integer number (2862567).

Almost surely, 2^135652320 is an apocalyptic number.

135652320 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 135652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240455628).

135652320 is an abundant number, since it is smaller than the sum of its proper divisors (345258936).

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

135652320 is an equidigital number, since it uses as much as digits as its factorization.

135652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135652320 is about 11646.9875933651. The cubic root of 135652320 is about 513.8177171115.

The spelling of 135652320 in words is "one hundred thirty-five million, six hundred fifty-two thousand, three hundred twenty".