152511253120 has 256 divisors, whose sum is σ = 384345400320. Its totient is φ = 57808650240.

The previous prime is 152511253073. The next prime is 152511253123. The reversal of 152511253120 is 21352115251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152511253123) 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 31 ways as a sum of consecutive naturals, for example, 153895825 + ... + 153896815.

It is an arithmetic number, because the mean of its divisors is an integer number (1501349220).

Almost surely, 2^152511253120 is an apocalyptic number.

152511253120 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 152511253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192172700160).

152511253120 is an abundant number, since it is smaller than the sum of its proper divisors (231834147200).

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

152511253120 is an equidigital number, since it uses as much as digits as its factorization.

152511253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 152511253120 its reverse (21352115251), we get a palindrome (173863368371).

The spelling of 152511253120 in words is "one hundred fifty-two billion, five hundred eleven million, two hundred fifty-three thousand, one hundred twenty".