145146816000 has 1280 divisors, whose sum is σ = 584168682240. Its totient is φ = 35831808000.

The previous prime is 145146815981. The next prime is 145146816043. The reversal of 145146816000 is 618641541.

145146816000 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 46 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2379455970 + ... + 2379456030.

It is an arithmetic number, because the mean of its divisors is an integer number (456381783).

Almost surely, 2^145146816000 is an apocalyptic number.

145146816000 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 145146816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292084341120).

145146816000 is an abundant number, since it is smaller than the sum of its proper divisors (439021866240).

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

145146816000 is an frugal number, since it uses more digits than its factorization.

145146816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 145146816000 in words is "one hundred forty-five billion, one hundred forty-six million, eight hundred sixteen thousand".