135837504 has 126 divisors (see below), whose sum is σ = 428186850. Its totient is φ = 41141760.

The previous prime is 135837503. The next prime is 135837509. The reversal of 135837504 is 405738531.

135837504 is a `hidden beast` number, since 1 + 3 + 583 + 75 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 6969600 = 11352^2 + 2640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135837503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68722 + ... + 70670.

Almost surely, 2^135837504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135837504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214093425).

135837504 is an abundant number, since it is smaller than the sum of its proper divisors (292349346).

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

135837504 is a wasteful number, since it uses less digits than its factorization.

135837504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135837504 is about 11654.9347488521. The cubic root of 135837504 is about 514.0514213218.

The spelling of 135837504 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand, five hundred four".