135578722752 has 420 divisors, whose sum is σ = 443768594808. Its totient is φ = 40897612800.

The previous prime is 135578722733. The next prime is 135578722823. The reversal of 135578722752 is 257227875531.

135578722752 is a `hidden beast` number, since 1 + 3 + 557 + 87 + 2 + 2 + 7 + 5 + 2 = 666.

135578722752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (8232000) is a multiple of the sum of its prime divisors (1000).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 207624058 + ... + 207624710.

Almost surely, 2^135578722752 is an apocalyptic number.

135578722752 is a gapful number since it is divisible by the number (12) 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 135578722752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221884297404).

135578722752 is an abundant number, since it is smaller than the sum of its proper divisors (308189872056).

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

135578722752 is a wasteful number, since it uses less digits than its factorization.

135578722752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1000 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 135578722752 in words is "one hundred thirty-five billion, five hundred seventy-eight million, seven hundred twenty-two thousand, seven hundred fifty-two".