152041120 has 288 divisors, whose sum is σ = 477804096. Its totient is φ = 45158400.

The previous prime is 152041117. The next prime is 152041129. The reversal of 152041120 is 21140251.

152041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 152041094 and 152041103.

It is not an unprimeable number, because it can be changed into a prime (152041129) 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, 3535819 + ... + 3535861.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042).

Almost surely, 2^152041120 is an apocalyptic number.

152041120 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 152041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238902048).

152041120 is an abundant number, since it is smaller than the sum of its proper divisors (325762976).

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

152041120 is a wasteful number, since it uses less digits than its factorization.

152041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 152041120 is about 12330.4955293776. The cubic root of 152041120 is about 533.7284502632.

Adding to 152041120 its reverse (21140251), we get a palindrome (173181371).

The spelling of 152041120 in words is "one hundred fifty-two million, forty-one thousand, one hundred twenty".