135577746 has 64 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 43804800.

The previous prime is 135577727. The next prime is 135577747. The reversal of 135577746 is 647775531.

135577746 is a `hidden beast` number, since 1 + 3 + 5 + 577 + 74 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (135577747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259966 + ... + 260486.

It is an arithmetic number, because the mean of its divisors is an integer number (4854600).

Almost surely, 2^135577746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135577746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

135577746 is an abundant number, since it is smaller than the sum of its proper divisors (175116654).

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

135577746 is a wasteful number, since it uses less digits than its factorization.

135577746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 135577746 is about 11643.7857245829. The cubic root of 135577746 is about 513.7235438452.

The spelling of 135577746 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, seven hundred forty-six".