120045735 has 24 divisors (see below), whose sum is σ = 211015584. Its totient is φ = 63120960.

The previous prime is 120045719. The next prime is 120045749. The reversal of 120045735 is 537540021.

It is a happy number.

120045735 is a `hidden beast` number, since 1 + 200 + 457 + 3 + 5 = 666.

It is not a de Polignac number, because 120045735 - 2⁴ = 120045719 is a prime.

It is a super-3 number, since 3×120045735³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120045699 and 120045708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15592 + ... + 21981.

It is an arithmetic number, because the mean of its divisors is an integer number (8792316).

Almost surely, 2^120045735 is an apocalyptic number.

120045735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120045735 is a deficient number, since it is larger than the sum of its proper divisors (90969849).

120045735 is a wasteful number, since it uses less digits than its factorization.

120045735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37655 (or 37652 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 120045735 is about 10956.5384588382. The cubic root of 120045735 is about 493.3050692455.

Adding to 120045735 its reverse (537540021), we get a palindrome (657585756).

The spelling of 120045735 in words is "one hundred twenty million, forty-five thousand, seven hundred thirty-five".