145160800 has 72 divisors (see below), whose sum is σ = 356039712. Its totient is φ = 57792000.

The previous prime is 145160777. The next prime is 145160803. The reversal of 145160800 is 8061541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145160803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 336585 + ... + 337015.

It is an arithmetic number, because the mean of its divisors is an integer number (4944996).

Almost surely, 2^145160800 is an apocalyptic number.

145160800 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 145160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019856).

145160800 is an abundant number, since it is smaller than the sum of its proper divisors (210878912).

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

145160800 is a wasteful number, since it uses less digits than its factorization.

145160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 145160800 is about 12048.2695852973. The cubic root of 145160800 is about 525.5529170989.

The spelling of 145160800 in words is "one hundred forty-five million, one hundred sixty thousand, eight hundred".