135503616 has 72 divisors (see below), whose sum is σ = 367552080. Its totient is φ = 44302336.

The previous prime is 135503597. The next prime is 135503653. The reversal of 135503616 is 616305531.

It is a super-2 number, since 2×135503616² = 36722459898150912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 39040 + ... + 42368.

It is an arithmetic number, because the mean of its divisors is an integer number (5104890).

Almost surely, 2^135503616 is an apocalyptic number.

135503616 is a gapful number since it is divisible by the number (16) 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 135503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183776040).

135503616 is an abundant number, since it is smaller than the sum of its proper divisors (232048464).

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

135503616 is an equidigital number, since it uses as much as digits as its factorization.

135503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 135503616 is about 11640.6020462861. The cubic root of 135503616 is about 513.6298970378.

The spelling of 135503616 in words is "one hundred thirty-five million, five hundred three thousand, six hundred sixteen".