135630461952 has 132 divisors (see below), whose sum is σ = 404264093376. Its totient is φ = 43751669760.

The previous prime is 135630461929. The next prime is 135630461959. The reversal of 135630461952 is 259164036531.

135630461952 is a `hidden beast` number, since 1 + 3 + 5 + 630 + 4 + 6 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135630461898 and 135630461907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135630461959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48328 + ... + 523064.

It is an arithmetic number, because the mean of its divisors is an integer number (3062606768).

Almost surely, 2^135630461952 is an apocalyptic number.

135630461952 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 135630461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202132046688).

135630461952 is an abundant number, since it is smaller than the sum of its proper divisors (268633631424).

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

135630461952 is a wasteful number, since it uses less digits than its factorization.

135630461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474794 (or 474773 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135630461952 in words is "one hundred thirty-five billion, six hundred thirty million, four hundred sixty-one thousand, nine hundred fifty-two".