135224305000 has 80 divisors (see below), whose sum is σ = 320097988980. Its totient is φ = 53531904000.

The previous prime is 135224304991. The next prime is 135224305009. The reversal of 135224305000 is 503422531.

It is an interprime number because it is at equal distance from previous prime (135224304991) and next prime (135224305009).

It can be written as a sum of positive squares in 10 ways, for example, as 47408094756 + 87816210244 = 217734^2 + 296338^2 .

It is a super-2 number, since 2×135224305000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135224305009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 345594 + ... + 624406.

Almost surely, 2^135224305000 is an apocalyptic number.

135224305000 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 135224305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160048994490).

135224305000 is an abundant number, since it is smaller than the sum of its proper divisors (184873683980).

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

135224305000 is an equidigital number, since it uses as much as digits as its factorization.

135224305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278936 (or 278917 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 135224305000 its reverse (503422531), we get a palindrome (135727727531).

The spelling of 135224305000 in words is "one hundred thirty-five billion, two hundred twenty-four million, three hundred five thousand".