145530400 has 36 divisors (see below), whose sum is σ = 355278042. Its totient is φ = 58211840.

The previous prime is 145530383. The next prime is 145530419. The reversal of 145530400 is 4035541.

It can be written as a sum of positive squares in 3 ways, for example, as 76108176 + 69422224 = 8724^2 + 8332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90157 + ... + 91756.

Almost surely, 2^145530400 is an apocalyptic number.

145530400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145530400 is an abundant number, since it is smaller than the sum of its proper divisors (209747642).

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

145530400 is a wasteful number, since it uses less digits than its factorization.

145530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181933 (or 181920 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 145530400 is about 12063.5981365428. The cubic root of 145530400 is about 525.9985831765.

Adding to 145530400 its reverse (4035541), we get a palindrome (149565941).

The spelling of 145530400 in words is "one hundred forty-five million, five hundred thirty thousand, four hundred".