147425281600 has 189 divisors, whose sum is σ = 376837053411. Its totient is φ = 56764646400.

The previous prime is 147425281589. The next prime is 147425281651. The reversal of 147425281600 is 6182524741.

The square root of 147425281600 is 383960.

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 2026440256 + 145398841344 = 45016^2 + 381312^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 445393435 + ... + 445393765.

Almost surely, 2^147425281600 is an apocalyptic number.

147425281600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147425281600 is the 383960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147425281600

147425281600 is an abundant number, since it is smaller than the sum of its proper divisors (229411771811).

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

147425281600 is an frugal number, since it uses more digits than its factorization.

147425281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

It can be divided in two parts, 147425 and 281600, that added together give a square (429025 = 655²).

The spelling of 147425281600 in words is "one hundred forty-seven billion, four hundred twenty-five million, two hundred eighty-one thousand, six hundred".