120149568 has 420 divisors, whose sum is σ = 462485232. Its totient is φ = 30481920.

The previous prime is 120149567. The next prime is 120149573. The reversal of 120149568 is 865941021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120149567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794155 + ... + 2794197.

Almost surely, 2^120149568 is an apocalyptic number.

120149568 is a gapful number since it is divisible by the number (18) 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 120149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231242616).

120149568 is an abundant number, since it is smaller than the sum of its proper divisors (342335664).

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

120149568 is a wasteful number, since it uses less digits than its factorization.

120149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 120149568 is about 10961.2758381495. The cubic root of 120149568 is about 493.4472555671.

The spelling of 120149568 in words is "one hundred twenty million, one hundred forty-nine thousand, five hundred sixty-eight".