120465765 has 48 divisors (see below), whose sum is σ = 249140160. Its totient is φ = 55067040.

The previous prime is 120465731. The next prime is 120465769. The reversal of 120465765 is 567564021.

It is a happy number.

120465765 is a `hidden beast` number, since 120 + 465 + 76 + 5 = 666.

It is not a de Polignac number, because 120465765 - 2⁷ = 120465637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120465769) 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, 2491 + ... + 15720.

It is an arithmetic number, because the mean of its divisors is an integer number (5190420).

Almost surely, 2^120465765 is an apocalyptic number.

120465765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120465765 is an abundant number, since it is smaller than the sum of its proper divisors (128674395).

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

120465765 is a wasteful number, since it uses less digits than its factorization.

120465765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 120465765 is about 10975.6897277574. The cubic root of 120465765 is about 493.8797439309.

The spelling of 120465765 in words is "one hundred twenty million, four hundred sixty-five thousand, seven hundred sixty-five".