145143453334320 has 240 divisors, whose sum is σ = 557153899511040. Its totient is φ = 33170911842816.

The previous prime is 145143453334301. The next prime is 145143453334337. The reversal of 145143453334320 is 23433354341541.

145143453334320 is a `hidden beast` number, since 1 + 4 + 5 + 143 + 45 + 3 + 33 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33324307 + ... + 37427213.

It is an arithmetic number, because the mean of its divisors is an integer number (2321474581296).

Almost surely, 2^{145143453334320} is an apocalyptic number.

145143453334320 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 145143453334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278576949755520).

145143453334320 is an abundant number, since it is smaller than the sum of its proper divisors (412010446176720).

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

145143453334320 is a wasteful number, since it uses less digits than its factorization.

145143453334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109952 (or 4109943 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 145143453334320 in words is "one hundred forty-five trillion, one hundred forty-three billion, four hundred fifty-three million, three hundred thirty-four thousand, three hundred twenty".