145892160 has 168 divisors, whose sum is σ = 506394720. Its totient is φ = 38550528.

The previous prime is 145892141. The next prime is 145892167. The reversal of 145892160 is 61298541.

145892160 is a `hidden beast` number, since 14 + 589 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145892167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515379 + ... + 515661.

Almost surely, 2^145892160 is an apocalyptic number.

145892160 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 145892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253197360).

145892160 is an abundant number, since it is smaller than the sum of its proper divisors (360502560).

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

145892160 is a wasteful number, since it uses less digits than its factorization.

145892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145892160 is about 12078.5826983136. The cubic root of 145892160 is about 526.4340656009.

The spelling of 145892160 in words is "one hundred forty-five million, eight hundred ninety-two thousand, one hundred sixty".