146721143808000 has 1008 divisors, whose sum is σ = 540514960506144. Its totient is φ = 38287864627200.

The previous prime is 146721143807999. The next prime is 146721143808013. The reversal of 146721143808000 is 808341127641.

146721143808000 is a `hidden beast` number, since 1 + 467 + 21 + 14 + 3 + 80 + 80 + 0 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20358140397 + ... + 20358147603.

Almost surely, 2^{146721143808000} is an apocalyptic number.

146721143808000 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 146721143808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270257480253072).

146721143808000 is an abundant number, since it is smaller than the sum of its proper divisors (393793816698144).

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

146721143808000 is an frugal number, since it uses more digits than its factorization.

146721143808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 146721143808000 in words is "one hundred forty-six trillion, seven hundred twenty-one billion, one hundred forty-three million, eight hundred eight thousand".