135987200000 has 240 divisors, whose sum is σ = 344041651800. Its totient is φ = 53739520000.

The previous prime is 135987199993. The next prime is 135987200033. The reversal of 135987200000 is 2789531.

135987200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135987200000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638399959 + ... + 1638400041.

Almost surely, 2^135987200000 is an apocalyptic number.

135987200000 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 135987200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172020825900).

135987200000 is an abundant number, since it is smaller than the sum of its proper divisors (208054451800).

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

135987200000 is an frugal number, since it uses more digits than its factorization.

135987200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

Adding to 135987200000 its reverse (2789531), we get a palindrome (135989989531).

The spelling of 135987200000 in words is "one hundred thirty-five billion, nine hundred eighty-seven million, two hundred thousand".