135581376 has 112 divisors (see below), whose sum is σ = 412577280. Its totient is φ = 38492160.

The previous prime is 135581371. The next prime is 135581399. The reversal of 135581376 is 673185531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (135581371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377485 + ... + 377843.

Almost surely, 2^135581376 is an apocalyptic number.

135581376 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 135581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206288640).

135581376 is an abundant number, since it is smaller than the sum of its proper divisors (276995904).

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

135581376 is a wasteful number, since it uses less digits than its factorization.

135581376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 135581376 is about 11643.9416006780. The cubic root of 135581376 is about 513.7281286680.

The spelling of 135581376 in words is "one hundred thirty-five million, five hundred eighty-one thousand, three hundred seventy-six".