145432400 has 30 divisors (see below), whose sum is σ = 349402302. Its totient is φ = 58172800.

The previous prime is 145432387. The next prime is 145432409. The reversal of 145432400 is 4234541.

145432400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 85264 + 145347136 = 292^2 + 12056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145432409) by changing a digit.

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, 181391 + ... + 182190.

Almost surely, 2^145432400 is an apocalyptic number.

145432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145432400 is an abundant number, since it is smaller than the sum of its proper divisors (203969902).

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

145432400 is a wasteful number, since it uses less digits than its factorization.

145432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363599 (or 363588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145432400 is about 12059.5356461184. The cubic root of 145432400 is about 525.8804877219.

Adding to 145432400 its reverse (4234541), we get a palindrome (149666941).

The spelling of 145432400 in words is "one hundred forty-five million, four hundred thirty-two thousand, four hundred".