135351616 has 56 divisors (see below), whose sum is σ = 277611840. Its totient is φ = 65436672.

The previous prime is 135351599. The next prime is 135351653. The reversal of 135351616 is 616153531.

It is a super-2 number, since 2×135351616² = 36640119907622912, which contains 22 as substring.

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, 376845 + ... + 377203.

Almost surely, 2^135351616 is an apocalyptic number.

135351616 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 135351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138805920).

135351616 is an abundant number, since it is smaller than the sum of its proper divisors (142260224).

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

135351616 is a wasteful number, since it uses less digits than its factorization.

135351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 135351616 is about 11634.0713423977. The cubic root of 135351616 is about 513.4377718952.

It can be divided in two parts, 13535 and 1616, that added together give a palindrome (15151).

The spelling of 135351616 in words is "one hundred thirty-five million, three hundred fifty-one thousand, six hundred sixteen".