153735045 has 32 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 78861120.

The previous prime is 153735041. The next prime is 153735047. The reversal of 153735045 is 540537351.

153735045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153735045 - 2² = 153735041 is a prime.

It is a super-2 number, since 2×153735045² = 47268928122304050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153734997 and 153735015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153735041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82312 + ... + 84158.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2^153735045 is an apocalyptic number.

153735045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153735045 is a deficient number, since it is larger than the sum of its proper divisors (101732475).

153735045 is a wasteful number, since it uses less digits than its factorization.

153735045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065.

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 153735045 is about 12398.9937091685. The cubic root of 153735045 is about 535.7032647384.

The spelling of 153735045 in words is "one hundred fifty-three million, seven hundred thirty-five thousand, forty-five".