145555200 has 486 divisors, whose sum is σ = 627683784. Its totient is φ = 31518720.

The previous prime is 145555133. The next prime is 145555213. The reversal of 145555200 is 2555541.

145555200 is a `hidden beast` number, since 1 + 455 + 5 + 5 + 200 = 666.

145555200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 7660791 + ... + 7660809.

Almost surely, 2^145555200 is an apocalyptic number.

145555200 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 145555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313841892).

145555200 is an abundant number, since it is smaller than the sum of its proper divisors (482128584).

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

145555200 is a wasteful number, since it uses less digits than its factorization.

145555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 145555200 is about 12064.6259784545. The cubic root of 145555200 is about 526.0284601505.

The spelling of 145555200 in words is "one hundred forty-five million, five hundred fifty-five thousand, two hundred".