135102754080 has 288 divisors, whose sum is σ = 527217320448. Its totient is φ = 30862080000.

The previous prime is 135102754069. The next prime is 135102754081. The reversal of 135102754080 is 80457201531.

135102754080 is a `hidden beast` number, since 1 + 3 + 5 + 10 + 27 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (135102754081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23695230 + ... + 23700930.

It is an arithmetic number, because the mean of its divisors is an integer number (1830615696).

Almost surely, 2^135102754080 is an apocalyptic number.

135102754080 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 135102754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608660224).

135102754080 is an abundant number, since it is smaller than the sum of its proper divisors (392114566368).

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

135102754080 is a wasteful number, since it uses less digits than its factorization.

135102754080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 135102754080 in words is "one hundred thirty-five billion, one hundred two million, seven hundred fifty-four thousand, eighty".