163145920 has 112 divisors (see below), whose sum is σ = 447617088. Its totient is φ = 55480320.

The previous prime is 163145893. The next prime is 163145947. The reversal of 163145920 is 29541361.

It is an interprime number because it is at equal distance from previous prime (163145893) and next prime (163145947).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×163145920³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387310 + ... + 387730.

Almost surely, 2^163145920 is an apocalyptic number.

163145920 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 163145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223808544).

163145920 is an abundant number, since it is smaller than the sum of its proper divisors (284471168).

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

163145920 is a wasteful number, since it uses less digits than its factorization.

163145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 163145920 is about 12772.8587246552. The cubic root of 163145920 is about 546.4185138500.

The spelling of 163145920 in words is "one hundred sixty-three million, one hundred forty-five thousand, nine hundred twenty".