135577629 has 24 divisors (see below), whose sum is σ = 214093152. Its totient is φ = 81993120.

The previous prime is 135577627. The next prime is 135577661. The reversal of 135577629 is 926775531.

135577629 is a `hidden beast` number, since 1 + 3 + 557 + 76 + 29 = 666.

It is not a de Polignac number, because 135577629 - 2¹ = 135577627 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135577627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56947 + ... + 59279.

It is an arithmetic number, because the mean of its divisors is an integer number (8920548).

Almost surely, 2^135577629 is an apocalyptic number.

It is an amenable number.

135577629 is a deficient number, since it is larger than the sum of its proper divisors (78515523).

135577629 is a wasteful number, since it uses less digits than its factorization.

135577629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2934 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 135577629 is about 11643.7807004426. The cubic root of 135577629 is about 513.7233960685.

The spelling of 135577629 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, six hundred twenty-nine".