152011077200 has 120 divisors (see below), whose sum is σ = 366925752600. Its totient is φ = 60518983680.

The previous prime is 152011077199. The next prime is 152011077221. The reversal of 152011077200 is 2770110251.

It can be written as a sum of positive squares in 12 ways, for example, as 2925511744 + 149085565456 = 54088^2 + 386116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152011077200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123686186 + ... + 123687414.

It is an arithmetic number, because the mean of its divisors is an integer number (3057714605).

Almost surely, 2^152011077200 is an apocalyptic number.

152011077200 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 152011077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183462876300).

152011077200 is an abundant number, since it is smaller than the sum of its proper divisors (214914675400).

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

152011077200 is a wasteful number, since it uses less digits than its factorization.

152011077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 152011077200 its reverse (2770110251), we get a palindrome (154781187451).

The spelling of 152011077200 in words is "one hundred fifty-two billion, eleven million, seventy-seven thousand, two hundred".