135577000 has 64 divisors (see below), whose sum is σ = 341686800. Its totient is φ = 50054400.

The previous prime is 135576983. The next prime is 135577031. The reversal of 135577000 is 775531.

It can be written as a sum of positive squares in 8 ways, for example, as 14092516 + 121484484 = 3754^2 + 11022^2 .

It is a super-2 number, since 2×135577000² = 36762245858000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135577000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7786 + ... + 18214.

Almost surely, 2^135577000 is an apocalyptic number.

135577000 is a gapful number since it is divisible by the number (10) 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 135577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170843400).

135577000 is an abundant number, since it is smaller than the sum of its proper divisors (206109800).

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

135577000 is a wasteful number, since it uses less digits than its factorization.

135577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 135577000 is about 11643.7536902839. The cubic root of 135577000 is about 513.7226016097.

The spelling of 135577000 in words is "one hundred thirty-five million, five hundred seventy-seven thousand".