135523200500 has 48 divisors (see below), whose sum is σ = 296098966800. Its totient is φ = 54187980800.

The previous prime is 135523200499. The next prime is 135523200503. The reversal of 135523200500 is 5002325531.

It can be written as a sum of positive squares in 8 ways, for example, as 33652434916 + 101870765584 = 183446^2 + 319172^2 .

It is a super-4 number, since 4×135523200500⁴ (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135523200500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135523200503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252556 + ... + 1356444.

It is an arithmetic number, because the mean of its divisors is an integer number (6168728475).

Almost surely, 2^135523200500 is an apocalyptic number.

135523200500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135523200500 is an abundant number, since it is smaller than the sum of its proper divisors (160575766300).

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

135523200500 is a wasteful number, since it uses less digits than its factorization.

135523200500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106517 (or 106505 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The spelling of 135523200500 in words is "one hundred thirty-five billion, five hundred twenty-three million, two hundred thousand, five hundred".