120153033 has 48 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 57611520.

The previous prime is 120152987. The next prime is 120153079. The reversal of 120153033 is 330351021.

It is an interprime number because it is at equal distance from previous prime (120152987) and next prime (120153079).

It is not a de Polignac number, because 120153033 - 2¹⁰ = 120152009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120152997 and 120153015.

It is not an unprimeable number, because it can be changed into a prime (120153133) 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, 2341 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2^120153033 is an apocalyptic number.

120153033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120153033 is a deficient number, since it is larger than the sum of its proper divisors (112888503).

120153033 is a wasteful number, since it uses less digits than its factorization.

120153033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 120153033 is about 10961.4338934284. The cubic root of 120153033 is about 493.4519990390.

The spelling of 120153033 in words is "one hundred twenty million, one hundred fifty-three thousand, thirty-three".