135145122160200 has 48 divisors (see below), whose sum is σ = 418949878698480. Its totient is φ = 36038699242560.

The previous prime is 135145122160171. The next prime is 135145122160207. The reversal of 135145122160200 is 2061221541531.

It is a super-2 number, since 2×135145122160200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135145122160207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112620934534 + ... + 112620935733.

It is an arithmetic number, because the mean of its divisors is an integer number (8728122472885).

Almost surely, 2^{135145122160200} is an apocalyptic number.

135145122160200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135145122160200 is an abundant number, since it is smaller than the sum of its proper divisors (283804756538280).

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

135145122160200 is a wasteful number, since it uses less digits than its factorization.

135145122160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225241870286 (or 225241870277 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 135145122160200 in words is "one hundred thirty-five trillion, one hundred forty-five billion, one hundred twenty-two million, one hundred sixty thousand, two hundred".