120153768 has 64 divisors (see below), whose sum is σ = 354385920. Its totient is φ = 33220800.

The previous prime is 120153767. The next prime is 120153791. The reversal of 120153768 is 867351021.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120153767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (5537280).

Almost surely, 2^120153768 is an apocalyptic number.

It is an amenable number.

120153768 is an abundant number, since it is smaller than the sum of its proper divisors (234232152).

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

120153768 is a wasteful number, since it uses less digits than its factorization.

120153768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 23114 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 120153768 is about 10961.4674200127. The cubic root of 120153768 is about 493.4530052183.

The spelling of 120153768 in words is "one hundred twenty million, one hundred fifty-three thousand, seven hundred sixty-eight".