145029062941272 has 384 divisors, whose sum is σ = 406232179516800. Its totient is φ = 46728658944000.

The previous prime is 145029062941261. The next prime is 145029062941297. The reversal of 145029062941272 is 272149260920541.

145029062941272 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 2 + 9 + 0 + 629 + 4 + 1 + 2 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16988289388 + ... + 16988297924.

It is an arithmetic number, because the mean of its divisors is an integer number (1057896300825).

Almost surely, 2^{145029062941272} is an apocalyptic number.

145029062941272 is a gapful number since it is divisible by the number (12) 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 145029062941272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203116089758400).

145029062941272 is an abundant number, since it is smaller than the sum of its proper divisors (261203116575528).

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

145029062941272 is a wasteful number, since it uses less digits than its factorization.

145029062941272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 145029062941272 in words is "one hundred forty-five trillion, twenty-nine billion, sixty-two million, nine hundred forty-one thousand, two hundred seventy-two".