145051600 has 30 divisors (see below), whose sum is σ = 348487430. Its totient is φ = 58020480.

The previous prime is 145051589. The next prime is 145051637. The reversal of 145051600 is 6150541.

It can be written as a sum of positive squares in 3 ways, for example, as 48776256 + 96275344 = 6984^2 + 9812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180915 + ... + 181714.

Almost surely, 2^145051600 is an apocalyptic number.

145051600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145051600 is an abundant number, since it is smaller than the sum of its proper divisors (203435830).

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

145051600 is a wasteful number, since it uses less digits than its factorization.

145051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362647 (or 362636 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 145051600 is about 12043.7369615913. The cubic root of 145051600 is about 525.4210982802.

The spelling of 145051600 in words is "one hundred forty-five million, fifty-one thousand, six hundred".