135612247680 has 2560 divisors, whose sum is σ = 671799744000. Its totient is φ = 25225592832.

The previous prime is 135612247559. The next prime is 135612247691. The reversal of 135612247680 is 86742216531.

135612247680 is a `hidden beast` number, since 1 + 3 + 5 + 612 + 24 + 7 + 6 + 8 + 0 = 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 319 ways as a sum of consecutive naturals, for example, 1523733076 + ... + 1523733164.

It is an arithmetic number, because the mean of its divisors is an integer number (262421775).

Almost surely, 2^135612247680 is an apocalyptic number.

135612247680 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 135612247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335899872000).

135612247680 is an abundant number, since it is smaller than the sum of its proper divisors (536187496320).

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

135612247680 is a wasteful number, since it uses less digits than its factorization.

135612247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 135612247680 in words is "one hundred thirty-five billion, six hundred twelve million, two hundred forty-seven thousand, six hundred eighty".