145620160 has 168 divisors, whose sum is σ = 415923984. Its totient is φ = 48384000.

The previous prime is 145620157. The next prime is 145620179. The reversal of 145620160 is 61026541.

145620160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580035 + ... + 580285.

It is an arithmetic number, because the mean of its divisors is an integer number (2475738).

Almost surely, 2^145620160 is an apocalyptic number.

145620160 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 145620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207961992).

145620160 is an abundant number, since it is smaller than the sum of its proper divisors (270303824).

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

145620160 is a wasteful number, since it uses less digits than its factorization.

145620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 145620160 is about 12067.3178461496. The cubic root of 145620160 is about 526.1067024638.

It can be divided in two parts, 14 and 5620160, that multiplied together give a triangular number (78682240 = T₁₂₅₄₄).

The spelling of 145620160 in words is "one hundred forty-five million, six hundred twenty thousand, one hundred sixty".