135416268 has 144 divisors (see below), whose sum is σ = 394532320. Its totient is φ = 38817792.

The previous prime is 135416233. The next prime is 135416293. The reversal of 135416268 is 862614531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862446 + ... + 862602.

Almost surely, 2^135416268 is an apocalyptic number.

135416268 is a gapful number since it is divisible by the number (18) 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 135416268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197266160).

135416268 is an abundant number, since it is smaller than the sum of its proper divisors (259116052).

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

135416268 is a wasteful number, since it uses less digits than its factorization.

135416268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135416268 is about 11636.8495736604. The cubic root of 135416268 is about 513.5195083776.

The spelling of 135416268 in words is "one hundred thirty-five million, four hundred sixteen thousand, two hundred sixty-eight".