120153040 has 40 divisors (see below), whose sum is σ = 319265280. Its totient is φ = 41195136.

The previous prime is 120152987. The next prime is 120153079. The reversal of 120153040 is 40351021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106720 + ... + 107839.

It is an arithmetic number, because the mean of its divisors is an integer number (7981632).

Almost surely, 2^120153040 is an apocalyptic number.

120153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120153040 is an abundant number, since it is smaller than the sum of its proper divisors (199112240).

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

120153040 is a wasteful number, since it uses less digits than its factorization.

120153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214579 (or 214573 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 120153040 is about 10961.4342127296. The cubic root of 120153040 is about 493.4520086217.

The spelling of 120153040 in words is "one hundred twenty million, one hundred fifty-three thousand, forty".