135101225000 has 192 divisors, whose sum is σ = 362778030720. Its totient is φ = 46202400000.

The previous prime is 135101224987. The next prime is 135101225009. The reversal of 135101225000 is 522101531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (135101225009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94674287 + ... + 94675713.

It is an arithmetic number, because the mean of its divisors is an integer number (1889468910).

Almost surely, 2^135101225000 is an apocalyptic number.

135101225000 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 135101225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181389015360).

135101225000 is an abundant number, since it is smaller than the sum of its proper divisors (227676805720).

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

135101225000 is an equidigital number, since it uses as much as digits as its factorization.

135101225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 135101225000 its reverse (522101531), we get a palindrome (135623326531).

The spelling of 135101225000 in words is "one hundred thirty-five billion, one hundred one million, two hundred twenty-five thousand".