135616320 has 378 divisors, whose sum is σ = 560689506. Its totient is φ = 29998080.

The previous prime is 135616301. The next prime is 135616381. The reversal of 135616320 is 23616531.

135616320 is a `hidden beast` number, since 13 + 5 + 616 + 32 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 27123264 = 10416^2 + 5208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4374705 + ... + 4374735.

Almost surely, 2^135616320 is an apocalyptic number.

135616320 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 135616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280344753).

135616320 is an abundant number, since it is smaller than the sum of its proper divisors (425073186).

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

135616320 is a wasteful number, since it uses less digits than its factorization.

135616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135616320 is about 11645.4420268189. The cubic root of 135616320 is about 513.7722600332.

It can be divided in two parts, 13561 and 6320, that added together give a square (19881 = 141²).

The spelling of 135616320 in words is "one hundred thirty-five million, six hundred sixteen thousand, three hundred twenty".