152007120 has 120 divisors (see below), whose sum is σ = 519009192. Its totient is φ = 39859200.

The previous prime is 152007109. The next prime is 152007157. The reversal of 152007120 is 21700251.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 148937616 = 1752^2 + 12204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152007093 and 152007102.

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 23 ways as a sum of consecutive naturals, for example, 42190 + ... + 45650.

Almost surely, 2^152007120 is an apocalyptic number.

152007120 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 152007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259504596).

152007120 is an abundant number, since it is smaller than the sum of its proper divisors (367002072).

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

152007120 is a wasteful number, since it uses less digits than its factorization.

152007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 152007120 is about 12329.1167566862. The cubic root of 152007120 is about 533.6886625177.

Adding to 152007120 its reverse (21700251), we get a palindrome (173707371).

The spelling of 152007120 in words is "one hundred fifty-two million, seven thousand, one hundred twenty".