145310376384 has 168 divisors, whose sum is σ = 435339061248. Its totient is φ = 48054746880.

The previous prime is 145310376377. The next prime is 145310376391. The reversal of 145310376384 is 483673013541.

145310376384 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 0 + 3 + 7 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (145310376377) and next prime (145310376391).

It is a super-2 number, since 2×145310376384² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938319 + ... + 2011889.

It is an arithmetic number, because the mean of its divisors is an integer number (2591303936).

Almost surely, 2^145310376384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145310376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217669530624).

145310376384 is an abundant number, since it is smaller than the sum of its proper divisors (290028684864).

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

145310376384 is an equidigital number, since it uses as much as digits as its factorization.

145310376384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73725 (or 73703 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 145310376384 in words is "one hundred forty-five billion, three hundred ten million, three hundred seventy-six thousand, three hundred eighty-four".