135577037 has 8 divisors (see below), whose sum is σ = 139822200. Its totient is φ = 131376640.

The previous prime is 135577031. The next prime is 135577051. The reversal of 135577037 is 730775531.

135577037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3924361 + 131652676 = 1981^2 + 11474^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135577037 - 2¹⁴ = 135560653 is a prime.

It is a super-2 number, since 2×135577037² = 36762265923398738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135577031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4988 + ... + 17205.

It is an arithmetic number, because the mean of its divisors is an integer number (17477775).

Almost surely, 2^135577037 is an apocalyptic number.

It is an amenable number.

135577037 is a deficient number, since it is larger than the sum of its proper divisors (4245163).

135577037 is a wasteful number, since it uses less digits than its factorization.

135577037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22383.

The product of its (nonzero) digits is 77175, while the sum is 38.

The square root of 135577037 is about 11643.7552791185. The cubic root of 135577037 is about 513.7226483427.

The spelling of 135577037 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, thirty-seven".