152125120 has 112 divisors (see below), whose sum is σ = 418356288. Its totient is φ = 51609600.

The previous prime is 152125117. The next prime is 152125121. The reversal of 152125120 is 21521251.

152125120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (152125121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252820 + ... + 253420.

It is an arithmetic number, because the mean of its divisors is an integer number (3735324).

Almost surely, 2^152125120 is an apocalyptic number.

152125120 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 152125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209178144).

152125120 is an abundant number, since it is smaller than the sum of its proper divisors (266231168).

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

152125120 is a wasteful number, since it uses less digits than its factorization.

152125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 152125120 is about 12333.9012481858. The cubic root of 152125120 is about 533.8267239754.

Adding to 152125120 its reverse (21521251), we get a palindrome (173646371).

The spelling of 152125120 in words is "one hundred fifty-two million, one hundred twenty-five thousand, one hundred twenty".