145978400 has 36 divisors (see below), whose sum is σ = 356371722. Its totient is φ = 58391040.

The previous prime is 145978397. The next prime is 145978453. The reversal of 145978400 is 4879541.

It can be written as a sum of positive squares in 3 ways, for example, as 141800464 + 4177936 = 11908^2 + 2044^2 .

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, 90437 + ... + 92036.

Almost surely, 2^145978400 is an apocalyptic number.

145978400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145978400 is an abundant number, since it is smaller than the sum of its proper divisors (210393322).

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

145978400 is a wasteful number, since it uses less digits than its factorization.

145978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182493 (or 182480 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 145978400 is about 12082.1521261735. The cubic root of 145978400 is about 526.5377740094.

The spelling of 145978400 in words is "one hundred forty-five million, nine hundred seventy-eight thousand, four hundred".