145643163120 has 960 divisors, whose sum is σ = 633943425024. Its totient is φ = 29123297280.

The previous prime is 145643163089. The next prime is 145643163137. The reversal of 145643163120 is 21361346541.

145643163120 is a `hidden beast` number, since 1 + 4 + 5 + 643 + 1 + 6 + 3 + 1 + 2 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191383540 + ... + 191384300.

Almost surely, 2^145643163120 is an apocalyptic number.

145643163120 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 145643163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316971712512).

145643163120 is an abundant number, since it is smaller than the sum of its proper divisors (488300261904).

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

145643163120 is a wasteful number, since it uses less digits than its factorization.

145643163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 145643163120 in words is "one hundred forty-five billion, six hundred forty-three million, one hundred sixty-three thousand, one hundred twenty".