145434274944 has 256 divisors, whose sum is σ = 457179340800. Its totient is φ = 40085176320.

The previous prime is 145434274939. The next prime is 145434274969. The reversal of 145434274944 is 449472434541.

It is a super-2 number, since 2×145434274944² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 28078947 + ... + 28084125.

It is an arithmetic number, because the mean of its divisors is an integer number (1785856800).

Almost surely, 2^145434274944 is an apocalyptic number.

145434274944 is a gapful number since it is divisible by the number (14) 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 145434274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228589670400).

145434274944 is an abundant number, since it is smaller than the sum of its proper divisors (311745065856).

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

145434274944 is a wasteful number, since it uses less digits than its factorization.

145434274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5559 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 145434274944 in words is "one hundred forty-five billion, four hundred thirty-four million, two hundred seventy-four thousand, nine hundred forty-four".