152005130120 has 128 divisors (see below), whose sum is σ = 354733344000. Its totient is φ = 58575891456.

The previous prime is 152005130117. The next prime is 152005130237. The reversal of 152005130120 is 21031500251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152005130092 and 152005130101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72416831 + ... + 72418929.

It is an arithmetic number, because the mean of its divisors is an integer number (2771354250).

Almost surely, 2^152005130120 is an apocalyptic number.

152005130120 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 152005130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672000).

152005130120 is an abundant number, since it is smaller than the sum of its proper divisors (202728213880).

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

152005130120 is a wasteful number, since it uses less digits than its factorization.

152005130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 152005130120 its reverse (21031500251), we get a palindrome (173036630371).

The spelling of 152005130120 in words is "one hundred fifty-two billion, five million, one hundred thirty thousand, one hundred twenty".