135488713518900 has 2268 divisors, whose sum is σ = 548532497571660. Its totient is φ = 28915149312000.

The previous prime is 135488713518877. The next prime is 135488713518947. The reversal of 135488713518900 is 9815317884531.

It is a happy number.

135488713518900 is a `hidden beast` number, since 1 + 3 + 5 + 48 + 8 + 71 + 3 + 518 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12606433706916 + 122882279811984 = 3550554^2 + 11085228^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 99550854220 + ... + 99550855580.

It is an arithmetic number, because the mean of its divisors is an integer number (241857362245).

Almost surely, 2^{135488713518900} is an apocalyptic number.

135488713518900 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 135488713518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274266248785830).

135488713518900 is an abundant number, since it is smaller than the sum of its proper divisors (413043784052760).

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

135488713518900 is a wasteful number, since it uses less digits than its factorization.

135488713518900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 135488713518900 in words is "one hundred thirty-five trillion, four hundred eighty-eight billion, seven hundred thirteen million, five hundred eighteen thousand, nine hundred".