145069200 has 180 divisors, whose sum is σ = 512712720. Its totient is φ = 37973760.

The previous prime is 145069189. The next prime is 145069207. The reversal of 145069200 is 2960541.

145069200 is a `hidden beast` number, since 1 + 450 + 6 + 9 + 200 = 666.

145069200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (145069207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212059 + ... + 212741.

It is an arithmetic number, because the mean of its divisors is an integer number (2848404).

Almost surely, 2^145069200 is an apocalyptic number.

145069200 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 145069200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256356360).

145069200 is an abundant number, since it is smaller than the sum of its proper divisors (367643520).

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

145069200 is a wasteful number, since it uses less digits than its factorization.

145069200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145069200 is about 12044.4676096538. The cubic root of 145069200 is about 525.4423482752.

The spelling of 145069200 in words is "one hundred forty-five million, sixty-nine thousand, two hundred".