153923120 has 120 divisors (see below), whose sum is σ = 399651504. Its totient is φ = 54793728.

The previous prime is 153923093. The next prime is 153923129. The reversal of 153923120 is 21329351.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 153923120.

It is not an unprimeable number, because it can be changed into a prime (153923129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2297327 + ... + 2297393.

Almost surely, 2^153923120 is an apocalyptic number.

153923120 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 153923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199825752).

153923120 is an abundant number, since it is smaller than the sum of its proper divisors (245728384).

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

153923120 is a wasteful number, since it uses less digits than its factorization.

153923120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 153923120 is about 12406.5756758261. The cubic root of 153923120 is about 535.9216303330.

The spelling of 153923120 in words is "one hundred fifty-three million, nine hundred twenty-three thousand, one hundred twenty".