145006102176 has 384 divisors, whose sum is σ = 430608939264. Its totient is φ = 42440785920.

The previous prime is 145006102139. The next prime is 145006102177. The reversal of 145006102176 is 671201600541.

It is not an unprimeable number, because it can be changed into a prime (145006102177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334886856 + ... + 334887288.

It is an arithmetic number, because the mean of its divisors is an integer number (1121377446).

Almost surely, 2^145006102176 is an apocalyptic number.

145006102176 is a gapful number since it is divisible by the number (16) 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 145006102176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215304469632).

145006102176 is an abundant number, since it is smaller than the sum of its proper divisors (285602837088).

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

145006102176 is a wasteful number, since it uses less digits than its factorization.

145006102176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 145006102176 in words is "one hundred forty-five billion, six million, one hundred two thousand, one hundred seventy-six".