145892275200 has 1980 divisors, whose sum is σ = 679375718560. Its totient is φ = 30218158080.

The previous prime is 145892275171. The next prime is 145892275247. The reversal of 145892275200 is 2572298541.

145892275200 is a `hidden beast` number, since 1 + 45 + 89 + 2 + 2 + 7 + 520 + 0 = 666.

145892275200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6343142389 + ... + 6343142411.

Almost surely, 2^145892275200 is an apocalyptic number.

145892275200 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 145892275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339687859280).

145892275200 is an abundant number, since it is smaller than the sum of its proper divisors (533483443360).

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

145892275200 is a wasteful number, since it uses less digits than its factorization.

145892275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 145892275200 in words is "one hundred forty-five billion, eight hundred ninety-two million, two hundred seventy-five thousand, two hundred".