153993120 has 192 divisors, whose sum is σ = 510935040. Its totient is φ = 38937600.

The previous prime is 153993113. The next prime is 153993121. The reversal of 153993120 is 21399351.

It is not an unprimeable number, because it can be changed into a prime (153993121) 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, 1175455 + ... + 1175585.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^153993120 is an apocalyptic number.

153993120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

153993120 is an abundant number, since it is smaller than the sum of its proper divisors (356941920).

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

153993120 is a wasteful number, since it uses less digits than its factorization.

153993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 153993120 is about 12409.3964397951. The cubic root of 153993120 is about 536.0028588249.

The spelling of 153993120 in words is "one hundred fifty-three million, nine hundred ninety-three thousand, one hundred twenty".