145327023072 has 768 divisors, whose sum is σ = 589084876800. Its totient is φ = 33652039680.

The previous prime is 145327023041. The next prime is 145327023103. The reversal of 145327023072 is 270320723541.

It is an interprime number because it is at equal distance from previous prime (145327023041) and next prime (145327023103).

It is a super-2 number, since 2×145327023072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21485163 + ... + 21491925.

It is an arithmetic number, because the mean of its divisors is an integer number (767037600).

Almost surely, 2^145327023072 is an apocalyptic number.

145327023072 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 145327023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294542438400).

145327023072 is an abundant number, since it is smaller than the sum of its proper divisors (443757853728).

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

145327023072 is a wasteful number, since it uses less digits than its factorization.

145327023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 145327023072 in words is "one hundred forty-five billion, three hundred twenty-seven million, twenty-three thousand, seventy-two".