145127800 has 24 divisors (see below), whose sum is σ = 337422600. Its totient is φ = 58051040.

The previous prime is 145127783. The next prime is 145127849. The reversal of 145127800 is 8721541.

145127800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×145127800⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

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, 362620 + ... + 363019.

It is an arithmetic number, because the mean of its divisors is an integer number (14059275).

Almost surely, 2^145127800 is an apocalyptic number.

145127800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145127800 is an abundant number, since it is smaller than the sum of its proper divisors (192294800).

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

145127800 is a wasteful number, since it uses less digits than its factorization.

145127800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725655 (or 725646 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 145127800 is about 12046.9000161867. The cubic root of 145127800 is about 525.5130887140.

The spelling of 145127800 in words is "one hundred forty-five million, one hundred twenty-seven thousand, eight hundred".