145813160 has 64 divisors (see below), whose sum is σ = 341312400. Its totient is φ = 55996416.

The previous prime is 145813159. The next prime is 145813177. The reversal of 145813160 is 61318541.

It can be written as a sum of positive squares in 8 ways, for example, as 50438404 + 95374756 = 7102^2 + 9766^2 .

It is a super-2 number, since 2×145813160² = 42522955258371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390734 + ... + 391106.

Almost surely, 2^145813160 is an apocalyptic number.

145813160 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 145813160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170656200).

145813160 is an abundant number, since it is smaller than the sum of its proper divisors (195499240).

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

145813160 is a wasteful number, since it uses less digits than its factorization.

145813160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 145813160 is about 12075.3120042507. The cubic root of 145813160 is about 526.3390278231.

The spelling of 145813160 in words is "one hundred forty-five million, eight hundred thirteen thousand, one hundred sixty".