145713980160000 has 3840 divisors, whose sum is σ = 644641488691200. Its totient is φ = 31818645504000.

The previous prime is 145713980159971. The next prime is 145713980160041. The reversal of 145713980160000 is 61089317541.

145713980160000 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 1 + 39 + 8 + 0 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 319 ways as a sum of consecutive naturals, for example, 653425919889 + ... + 653425920111.

It is an arithmetic number, because the mean of its divisors is an integer number (167875387680).

Almost surely, 2^{145713980160000} is an apocalyptic number.

145713980160000 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 145713980160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322320744345600).

145713980160000 is an abundant number, since it is smaller than the sum of its proper divisors (498927508531200).

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

145713980160000 is an equidigital number, since it uses as much as digits as its factorization.

145713980160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 145713980160000 in words is "one hundred forty-five trillion, seven hundred thirteen billion, nine hundred eighty million, one hundred sixty thousand".