135636861420 has 192 divisors, whose sum is σ = 444435264000. Its totient is φ = 34247308032.

The previous prime is 135636861407. The next prime is 135636861509. The reversal of 135636861420 is 24168636531.

135636861420 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 6 + 8 + 614 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37067551 + ... + 37071209.

It is an arithmetic number, because the mean of its divisors is an integer number (2314767000).

Almost surely, 2^135636861420 is an apocalyptic number.

135636861420 is a gapful number since it is divisible by the number (10) 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 135636861420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222217632000).

135636861420 is an abundant number, since it is smaller than the sum of its proper divisors (308798402580).

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

135636861420 is a wasteful number, since it uses less digits than its factorization.

135636861420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135636861420 in words is "one hundred thirty-five billion, six hundred thirty-six million, eight hundred sixty-one thousand, four hundred twenty".