135315552000 has 144 divisors (see below), whose sum is σ = 449450924832. Its totient is φ = 36084121600.

The previous prime is 135315551999. The next prime is 135315552011. The reversal of 135315552000 is 255513531.

It is a super-2 number, since 2×135315552000² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608769 + ... + 800768.

It is an arithmetic number, because the mean of its divisors is an integer number (3121186978).

Almost surely, 2^135315552000 is an apocalyptic number.

135315552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135315552000 is an abundant number, since it is smaller than the sum of its proper divisors (314135372832).

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

135315552000 is an equidigital number, since it uses as much as digits as its factorization.

135315552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409571 (or 1409547 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 135315552000 in words is "one hundred thirty-five billion, three hundred fifteen million, five hundred fifty-two thousand".