135724416 has 64 divisors (see below), whose sum is σ = 361732800. Its totient is φ = 45089280.

The previous prime is 135724411. The next prime is 135724427. The reversal of 135724416 is 614427531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×135724416² = 36842234197082112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135724411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218955 + ... + 219573.

It is an arithmetic number, because the mean of its divisors is an integer number (5652075).

Almost surely, 2^135724416 is an apocalyptic number.

135724416 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 135724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180866400).

135724416 is an abundant number, since it is smaller than the sum of its proper divisors (226008384).

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

135724416 is an equidigital number, since it uses as much as digits as its factorization.

135724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1195 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 135724416 is about 11650.0822314694. The cubic root of 135724416 is about 513.9087283117.

The spelling of 135724416 in words is "one hundred thirty-five million, seven hundred twenty-four thousand, four hundred sixteen".