135566500 has 96 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 49664000.

The previous prime is 135566489. The next prime is 135566507. The reversal of 135566500 is 5665531.

It can be written as a sum of positive squares in 16 ways, for example, as 123787876 + 11778624 = 11126^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135566507) 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, 348306 + ... + 348694.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^135566500 is an apocalyptic number.

135566500 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 135566500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

135566500 is an abundant number, since it is smaller than the sum of its proper divisors (186398780).

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

135566500 is a wasteful number, since it uses less digits than its factorization.

135566500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 135566500 is about 11643.3027960283. The cubic root of 135566500 is about 513.7093392162.

The spelling of 135566500 in words is "one hundred thirty-five million, five hundred sixty-six thousand, five hundred".