145219766160 has 160 divisors (see below), whose sum is σ = 515212738560. Its totient is φ = 33146648064.

The previous prime is 145219766129. The next prime is 145219766161. The reversal of 145219766160 is 61667912541.

145219766160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145219766160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145219766161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147809 + ... + 1268031.

It is an arithmetic number, because the mean of its divisors is an integer number (3220079616).

Almost surely, 2^145219766160 is an apocalyptic number.

145219766160 is a gapful number since it is divisible by the number (10) 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 145219766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257606369280).

145219766160 is an abundant number, since it is smaller than the sum of its proper divisors (369992972400).

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

145219766160 is a wasteful number, since it uses less digits than its factorization.

145219766160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120965 (or 120959 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 145219766160 in words is "one hundred forty-five billion, two hundred nineteen million, seven hundred sixty-six thousand, one hundred sixty".