135992131200 has 864 divisors, whose sum is σ = 522493433280. Its totient is φ = 34911129600.

The previous prime is 135992131181. The next prime is 135992131207. The reversal of 135992131200 is 2131299531.

135992131200 is a `hidden beast` number, since 1 + 359 + 92 + 13 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135992131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2229379170 + ... + 2229379230.

It is an arithmetic number, because the mean of its divisors is an integer number (604737770).

Almost surely, 2^135992131200 is an apocalyptic number.

135992131200 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 135992131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261246716640).

135992131200 is an abundant number, since it is smaller than the sum of its proper divisors (386501302080).

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

135992131200 is an frugal number, since it uses more digits than its factorization.

135992131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 135992131200 in words is "one hundred thirty-five billion, nine hundred ninety-two million, one hundred thirty-one thousand, two hundred".