135318988800 has 720 divisors, whose sum is σ = 509717688480. Its totient is φ = 35473489920.

The previous prime is 135318988769. The next prime is 135318988811. The reversal of 135318988800 is 8889813531.

135318988800 is a `hidden beast` number, since 13 + 531 + 8 + 98 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×135318988800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 277862157 + ... + 277862643.

It is an arithmetic number, because the mean of its divisors is an integer number (707941234).

Almost surely, 2^135318988800 is an apocalyptic number.

135318988800 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 135318988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254858844240).

135318988800 is an abundant number, since it is smaller than the sum of its proper divisors (374398699680).

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

135318988800 is an equidigital number, since it uses as much as digits as its factorization.

135318988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 135318988800 in words is "one hundred thirty-five billion, three hundred eighteen million, nine hundred eighty-eight thousand, eight hundred".