135646979832 has 384 divisors, whose sum is σ = 493594483200. Its totient is φ = 33891291648.

The previous prime is 135646979803. The next prime is 135646979833. The reversal of 135646979832 is 238979646531.

135646979832 is a `hidden beast` number, since 1 + 3 + 56 + 469 + 7 + 98 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 135646979832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135646979833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3340998 + ... + 3381354.

It is an arithmetic number, because the mean of its divisors is an integer number (1285402300).

Almost surely, 2^135646979832 is an apocalyptic number.

135646979832 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 135646979832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246797241600).

135646979832 is an abundant number, since it is smaller than the sum of its proper divisors (357947503368).

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

135646979832 is a wasteful number, since it uses less digits than its factorization.

135646979832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40417 (or 40401 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 135646979832 in words is "one hundred thirty-five billion, six hundred forty-six million, nine hundred seventy-nine thousand, eight hundred thirty-two".