145347640364160 has 2304 divisors, whose sum is σ = 581764513075200. Its totient is φ = 33230816870400.

The previous prime is 145347640364159. The next prime is 145347640364161. The reversal of 145347640364160 is 61463046743541.

145347640364160 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 76 + 403 + 6 + 4 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (145347640364159) and next prime (145347640364161).

It is a super-2 number, since 2×145347640364160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145347640364097 and 145347640364106.

It is not an unprimeable number, because it can be changed into a prime (145347640364161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 379497755329 + ... + 379497755711.

It is an arithmetic number, because the mean of its divisors is an integer number (252501958800).

Almost surely, 2^{145347640364160} is an apocalyptic number.

145347640364160 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 145347640364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290882256537600).

145347640364160 is an abundant number, since it is smaller than the sum of its proper divisors (436416872711040).

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

145347640364160 is a wasteful number, since it uses less digits than its factorization.

145347640364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 145347640364160 in words is "one hundred forty-five trillion, three hundred forty-seven billion, six hundred forty million, three hundred sixty-four thousand, one hundred sixty".