145958727168 has 640 divisors, whose sum is σ = 488133043200. Its totient is φ = 42830954496.

The previous prime is 145958727157. The next prime is 145958727169. The reversal of 145958727168 is 861727859541.

145958727168 is a `hidden beast` number, since 1 + 4 + 595 + 8 + 7 + 27 + 16 + 8 = 666.

It is a super-2 number, since 2×145958727168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145958727169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223519930 + ... + 223520582.

It is an arithmetic number, because the mean of its divisors is an integer number (762707880).

Almost surely, 2^145958727168 is an apocalyptic number.

145958727168 is a gapful number since it is divisible by the number (18) 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 145958727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244066521600).

145958727168 is an abundant number, since it is smaller than the sum of its proper divisors (342174316032).

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

145958727168 is a wasteful number, since it uses less digits than its factorization.

145958727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 145958727168 in words is "one hundred forty-five billion, nine hundred fifty-eight million, seven hundred twenty-seven thousand, one hundred sixty-eight".