145360400 has 30 divisors (see below), whose sum is σ = 349229322. Its totient is φ = 58144000.

The previous prime is 145360379. The next prime is 145360427. The reversal of 145360400 is 4063541.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 976144 + 144384256 = 988^2 + 12016^2 .

It is a super-2 number, since 2×145360400² = 42259291776320000, which contains 22 as substring.

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, 181301 + ... + 182100.

Almost surely, 2^145360400 is an apocalyptic number.

145360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145360400 is an abundant number, since it is smaller than the sum of its proper divisors (203868922).

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

145360400 is a wasteful number, since it uses less digits than its factorization.

145360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363419 (or 363408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 145360400 is about 12056.5500869859. The cubic root of 145360400 is about 525.7936899033.

The spelling of 145360400 in words is "one hundred forty-five million, three hundred sixty thousand, four hundred".