145748160 has 140 divisors (see below), whose sum is σ = 518544048. Its totient is φ = 38859264.

The previous prime is 145748159. The next prime is 145748177. The reversal of 145748160 is 61847541.

It is a happy number.

145748160 is a `hidden beast` number, since 1 + 4 + 574 + 81 + 6 + 0 = 666.

It is a super-2 number, since 2×145748160² = 42485052286771200, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 23109 + ... + 28731.

Almost surely, 2^145748160 is an apocalyptic number.

145748160 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 145748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259272024).

145748160 is an abundant number, since it is smaller than the sum of its proper divisors (372795888).

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

145748160 is an equidigital number, since it uses as much as digits as its factorization.

145748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145748160 is about 12072.6202623954. The cubic root of 145748160 is about 526.2608064387.

It can be divided in two parts, 1457481 and 60, that added together give a palindrome (1457541).

The spelling of 145748160 in words is "one hundred forty-five million, seven hundred forty-eight thousand, one hundred sixty".