135540125352 has 96 divisors (see below), whose sum is σ = 386889048000. Its totient is φ = 42748888320.

The previous prime is 135540125351. The next prime is 135540125387. The reversal of 135540125352 is 253521045531.

135540125352 is a `hidden beast` number, since 1 + 3 + 5 + 540 + 12 + 53 + 52 = 666.

It is a super-2 number, since 2×135540125352² (a number of 23 digits) contains 22 as substring.

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 (135540125351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045477 + ... + 1167947.

It is an arithmetic number, because the mean of its divisors is an integer number (4030094250).

Almost surely, 2^135540125352 is an apocalyptic number.

135540125352 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 135540125352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193444524000).

135540125352 is an abundant number, since it is smaller than the sum of its proper divisors (251348922648).

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

135540125352 is a wasteful number, since it uses less digits than its factorization.

135540125352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123311 (or 123304 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 135540125352 in words is "one hundred thirty-five billion, five hundred forty million, one hundred twenty-five thousand, three hundred fifty-two".