152145110213200 has 120 divisors (see below), whose sum is σ = 407220221784600. Its totient is φ = 54239529953280.

The previous prime is 152145110213189. The next prime is 152145110213203. The reversal of 152145110213200 is 2312011541251.

It can be written as a sum of positive squares in 12 ways, for example, as 73732172521536 + 78412937691664 = 8586744^2 + 8855108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152145110213203) by changing a digit.

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, 504309115 + ... + 504610714.

It is an arithmetic number, because the mean of its divisors is an integer number (3393501848205).

Almost surely, 2^{152145110213200} is an apocalyptic number.

152145110213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152145110213200 is an abundant number, since it is smaller than the sum of its proper divisors (255075111571400).

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

152145110213200 is a wasteful number, since it uses less digits than its factorization.

152145110213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008919889 (or 1008919878 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 152145110213200 its reverse (2312011541251), we get a palindrome (154457121754451).

The spelling of 152145110213200 in words is "one hundred fifty-two trillion, one hundred forty-five billion, one hundred ten million, two hundred thirteen thousand, two hundred".