135120325141200 has 240 divisors, whose sum is σ = 494677048035456. Its totient is φ = 30884148019200.

The previous prime is 135120325141181. The next prime is 135120325141223. The reversal of 135120325141200 is 2141523021531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864122224 + ... + 864278576.

Almost surely, 2^{135120325141200} is an apocalyptic number.

135120325141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135120325141200 is an abundant number, since it is smaller than the sum of its proper divisors (359556722894256).

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

135120325141200 is a wasteful number, since it uses less digits than its factorization.

135120325141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259262 (or 259251 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 135120325141200 its reverse (2141523021531), we get a palindrome (137261848162731).

The spelling of 135120325141200 in words is "one hundred thirty-five trillion, one hundred twenty billion, three hundred twenty-five million, one hundred forty-one thousand, two hundred".