145435449600 has 729 divisors, whose sum is σ = 607533034017. Its totient is φ = 33095946240.

The previous prime is 145435449589. The next prime is 145435449617. The reversal of 145435449600 is 6944534541.

The square root of 145435449600 is 381360.

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

145435449600 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 35 + 4 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52356761856 + 93078687744 = 228816^2 + 305088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 640684687 + ... + 640684913.

Almost surely, 2^145435449600 is an apocalyptic number.

145435449600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145435449600 is the 381360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145435449600

145435449600 is an abundant number, since it is smaller than the sum of its proper divisors (462097584417).

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

145435449600 is an equidigital number, since it uses as much as digits as its factorization.

145435449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 145435449600 in words is "one hundred forty-five billion, four hundred thirty-five million, four hundred forty-nine thousand, six hundred".