120135478176 has 288 divisors, whose sum is σ = 411746549760. Its totient is φ = 32458019328.

The previous prime is 120135478171. The next prime is 120135478201. The reversal of 120135478176 is 671874531021.

120135478176 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 5 + 478 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (120135478171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23247945 + ... + 23253111.

It is an arithmetic number, because the mean of its divisors is an integer number (1429675520).

Almost surely, 2^120135478176 is an apocalyptic number.

120135478176 is a gapful number since it is divisible by the number (16) 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 120135478176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205873274880).

120135478176 is an abundant number, since it is smaller than the sum of its proper divisors (291611071584).

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

120135478176 is a wasteful number, since it uses less digits than its factorization.

120135478176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 120135478176 in words is "one hundred twenty billion, one hundred thirty-five million, four hundred seventy-eight thousand, one hundred seventy-six".