145724400 has 240 divisors, whose sum is σ = 527704320. Its totient is φ = 38188800.

The previous prime is 145724399. The next prime is 145724419. The reversal of 145724400 is 4427541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112335 + ... + 1112465.

It is an arithmetic number, because the mean of its divisors is an integer number (2198768).

Almost surely, 2^145724400 is an apocalyptic number.

145724400 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 145724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263852160).

145724400 is an abundant number, since it is smaller than the sum of its proper divisors (381979920).

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

145724400 is a wasteful number, since it uses less digits than its factorization.

145724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145724400 is about 12071.6361774202. The cubic root of 145724400 is about 526.2322077099.

The spelling of 145724400 in words is "one hundred forty-five million, seven hundred twenty-four thousand, four hundred".