135368416 has 24 divisors (see below), whose sum is σ = 282184560. Its totient is φ = 63702528.

The previous prime is 135368393. The next prime is 135368417. The reversal of 135368416 is 614863531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135368417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123876 + ... + 124963.

It is an arithmetic number, because the mean of its divisors is an integer number (11757690).

Almost surely, 2^135368416 is an apocalyptic number.

135368416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135368416 is an abundant number, since it is smaller than the sum of its proper divisors (146816144).

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

135368416 is a wasteful number, since it uses less digits than its factorization.

135368416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248866 (or 248858 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 135368416 is about 11634.7933372278. The cubic root of 135368416 is about 513.4590138475.

It can be divided in two parts, 13536 and 8416, that added together give a cube (21952 = 28³).

The spelling of 135368416 in words is "one hundred thirty-five million, three hundred sixty-eight thousand, four hundred sixteen".