145723200 has 168 divisors, whose sum is σ = 546518592. Its totient is φ = 33300480.

The previous prime is 145723199. The next prime is 145723241. The reversal of 145723200 is 2327541.

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31432 + ... + 35768.

Almost surely, 2^145723200 is an apocalyptic number.

145723200 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 145723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273259296).

145723200 is an abundant number, since it is smaller than the sum of its proper divisors (400795392).

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

145723200 is a wasteful number, since it uses less digits than its factorization.

145723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 145723200 is about 12071.5864740307. The cubic root of 145723200 is about 526.2307632472.

The spelling of 145723200 in words is "one hundred forty-five million, seven hundred twenty-three thousand, two hundred".