152388736900 has 81 divisors (see below), whose sum is σ = 334808643141. Its totient is φ = 60204422880.

The previous prime is 152388736879. The next prime is 152388736919. The reversal of 152388736900 is 9637883251.

The square root of 152388736900 is 390370.

It is a perfect power (a square), and thus also a powerful number.

152388736900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54859945284 + 97528791616 = 234222^2 + 312296^2 .

It is a super-2 number, since 2×152388736900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 402080911 + ... + 402081289.

Almost surely, 2^152388736900 is an apocalyptic number.

152388736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152388736900 is the 390370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152388736900

152388736900 is an abundant number, since it is smaller than the sum of its proper divisors (182419906241).

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

152388736900 is an equidigital number, since it uses as much as digits as its factorization.

152388736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 152388736900 in words is "one hundred fifty-two billion, three hundred eighty-eight million, seven hundred thirty-six thousand, nine hundred".