135630173952 has 1296 divisors, whose sum is σ = 533727317760. Its totient is φ = 33538572288.

The previous prime is 135630173947. The next prime is 135630173953. The reversal of 135630173952 is 259371036531.

135630173952 is a `hidden beast` number, since 1 + 3 + 5 + 630 + 1 + 7 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a junction number, because it is equal to n+sod(n) for n = 135630173898 and 135630173907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135630173953) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1398249168 + ... + 1398249264.

Almost surely, 2^135630173952 is an apocalyptic number.

135630173952 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 135630173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266863658880).

135630173952 is an abundant number, since it is smaller than the sum of its proper divisors (398097143808).

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

135630173952 is an equidigital number, since it uses as much as digits as its factorization.

135630173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 135630173952 in words is "one hundred thirty-five billion, six hundred thirty million, one hundred seventy-three thousand, nine hundred fifty-two".