151928448400 has 45 divisors (see below), whose sum is σ = 365026827171. Its totient is φ = 60768261120.

The previous prime is 151928448379. The next prime is 151928448407. The reversal of 151928448400 is 4844829151.

The square root of 151928448400 is 389780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77499878544 + 74428569856 = 278388^2 + 272816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151928448407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7785856 + ... + 7805344.

Almost surely, 2^151928448400 is an apocalyptic number.

151928448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151928448400 is the 389780-th square number.

It is an amenable number.

151928448400 is an abundant number, since it is smaller than the sum of its proper divisors (213098378771).

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

151928448400 is an frugal number, since it uses more digits than its factorization.

151928448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38996 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 151928448400 in words is "one hundred fifty-one billion, nine hundred twenty-eight million, four hundred forty-eight thousand, four hundred".