135269376 has 88 divisors (see below), whose sum is σ = 393417024. Its totient is φ = 40980480.

The previous prime is 135269353. The next prime is 135269389. The reversal of 135269376 is 673962531.

It is a tau number, because it is divible by the number of its divisors (88).

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, 31791 + ... + 35793.

It is an arithmetic number, because the mean of its divisors is an integer number (4470648).

Almost surely, 2^135269376 is an apocalyptic number.

135269376 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 135269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196708512).

135269376 is an abundant number, since it is smaller than the sum of its proper divisors (258147648).

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

135269376 is a wasteful number, since it uses less digits than its factorization.

135269376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4019 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 135269376 is about 11630.5363590851. The cubic root of 135269376 is about 513.3337621105. Note that the first 3 decimals are identical.

The spelling of 135269376 in words is "one hundred thirty-five million, two hundred sixty-nine thousand, three hundred seventy-six".