145504400 has 30 divisors (see below), whose sum is σ = 349575282. Its totient is φ = 58201600.

The previous prime is 145504379. The next prime is 145504439. The reversal of 145504400 is 4405541.

It can be written as a sum of positive squares in 3 ways, for example, as 13162384 + 132342016 = 3628^2 + 11504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181481 + ... + 182280.

Almost surely, 2^145504400 is an apocalyptic number.

145504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145504400 is an abundant number, since it is smaller than the sum of its proper divisors (204070882).

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

145504400 is a wasteful number, since it uses less digits than its factorization.

145504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363779 (or 363768 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 145504400 is about 12062.5204663039. The cubic root of 145504400 is about 525.9672568977.

Adding to 145504400 its reverse (4405541), we get a palindrome (149909941).

The spelling of 145504400 in words is "one hundred forty-five million, five hundred four thousand, four hundred".