145174200 has 96 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 38396800.

The previous prime is 145174171. The next prime is 145174217. The reversal of 145174200 is 2471541.

145174200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 77677 + ... + 79523.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2^145174200 is an apocalyptic number.

145174200 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 145174200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

145174200 is an abundant number, since it is smaller than the sum of its proper divisors (308546760).

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

145174200 is a wasteful number, since it uses less digits than its factorization.

145174200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 145174200 is about 12048.8256689189. The cubic root of 145174200 is about 525.5690881139.

It can be divided in two parts, 145 and 174200, that added together give a triangular number (174345 = T₅₉₀).

The spelling of 145174200 in words is "one hundred forty-five million, one hundred seventy-four thousand, two hundred".