148872505600 has 729 divisors, whose sum is σ = 473074879473. Its totient is φ = 46226718720.

The previous prime is 148872505577. The next prime is 148872505601. The reversal of 148872505600 is 6505278841.

The square root of 148872505600 is 385840.

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

It can be written as a sum of positive squares in 13 ways, for example, as 116920228096 + 31952277504 = 341936^2 + 178752^2 .

It is not an unprimeable number, because it can be changed into a prime (148872505601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2808915174 + ... + 2808915226.

Almost surely, 2^148872505600 is an apocalyptic number.

148872505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148872505600 is the 385840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148872505600

148872505600 is an abundant number, since it is smaller than the sum of its proper divisors (324202373873).

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

148872505600 is an equidigital number, since it uses as much as digits as its factorization.

148872505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 148872505600 in words is "one hundred forty-eight billion, eight hundred seventy-two million, five hundred five thousand, six hundred".