145644300 has 108 divisors (see below), whose sum is σ = 467766936. Its totient is φ = 37881600.

The previous prime is 145644299. The next prime is 145644353. The reversal of 145644300 is 3446541.

145644300 is a `hidden beast` number, since 14 + 5 + 644 + 3 + 0 + 0 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 34927 + ... + 38873.

Almost surely, 2^145644300 is an apocalyptic number.

145644300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233883468).

145644300 is an abundant number, since it is smaller than the sum of its proper divisors (322122636).

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

145644300 is a wasteful number, since it uses less digits than its factorization.

145644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145644300 is about 12068.3180269663. The cubic root of 145644300 is about 526.1357724178.

The spelling of 145644300 in words is "one hundred forty-five million, six hundred forty-four thousand, three hundred".