135804948552 has 768 divisors, whose sum is σ = 484089016320. Its totient is φ = 33443020800.

The previous prime is 135804948547. The next prime is 135804948571. The reversal of 135804948552 is 255849408531.

135804948552 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 49 + 48 + 552 = 666.

135804948552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135804948552² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1201813648 + ... + 1201813760.

It is an arithmetic number, because the mean of its divisors is an integer number (630324240).

Almost surely, 2^135804948552 is an apocalyptic number.

135804948552 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 135804948552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242044508160).

135804948552 is an abundant number, since it is smaller than the sum of its proper divisors (348284067768).

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

135804948552 is a wasteful number, since it uses less digits than its factorization.

135804948552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 135804948552 in words is "one hundred thirty-five billion, eight hundred four million, nine hundred forty-eight thousand, five hundred fifty-two".