152152414304 has 144 divisors (see below), whose sum is σ = 342867031920. Its totient is φ = 65837076480.

The previous prime is 152152414259. The next prime is 152152414339. The reversal of 152152414304 is 403414251251.

152152414304 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54397034 + ... + 54399830.

It is an arithmetic number, because the mean of its divisors is an integer number (2381021055).

Almost surely, 2^152152414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152152414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171433515960).

152152414304 is an abundant number, since it is smaller than the sum of its proper divisors (190714617616).

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

152152414304 is a wasteful number, since it uses less digits than its factorization.

152152414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 152152414304 its reverse (403414251251), we get a palindrome (555566665555).

The spelling of 152152414304 in words is "one hundred fifty-two billion, one hundred fifty-two million, four hundred fourteen thousand, three hundred four".