145014400 has 48 divisors (see below), whose sum is σ = 358238790. Its totient is φ = 58004480.

The previous prime is 145014383. The next prime is 145014407. The reversal of 145014400 is 4410541.

It can be written as a sum of positive squares in 3 ways, for example, as 98883136 + 46131264 = 9944^2 + 6792^2 .

It is not an unprimeable number, because it can be changed into a prime (145014407) by changing a digit.

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, 19459 + ... + 25858.

Almost surely, 2^145014400 is an apocalyptic number.

145014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145014400 is an abundant number, since it is smaller than the sum of its proper divisors (213224390).

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

145014400 is an equidigital number, since it uses as much as digits as its factorization.

145014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45341 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 145014400 is about 12042.1924914029. The cubic root of 145014400 is about 525.3761778611.

Adding to 145014400 its reverse (4410541), we get a palindrome (149424941).

The spelling of 145014400 in words is "one hundred forty-five million, fourteen thousand, four hundred".