145050091200 has 672 divisors, whose sum is σ = 623832453120. Its totient is φ = 32082739200.

The previous prime is 145050091187. The next prime is 145050091229. The reversal of 145050091200 is 2190050541.

145050091200 is a `hidden beast` number, since 1 + 4 + 50 + 500 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9366664 + ... + 9382136.

Almost surely, 2^145050091200 is an apocalyptic number.

145050091200 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 145050091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311916226560).

145050091200 is an abundant number, since it is smaller than the sum of its proper divisors (478782361920).

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

145050091200 is a wasteful number, since it uses less digits than its factorization.

145050091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 145050091200 in words is "one hundred forty-five billion, fifty million, ninety-one thousand, two hundred".