145859200 has 96 divisors (see below), whose sum is σ = 379440000. Its totient is φ = 55249920.

The previous prime is 145859117. The next prime is 145859213. The reversal of 145859200 is 2958541.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59601 + ... + 61999.

It is an arithmetic number, because the mean of its divisors is an integer number (3952500).

Almost surely, 2^145859200 is an apocalyptic number.

145859200 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 145859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720000).

145859200 is an abundant number, since it is smaller than the sum of its proper divisors (233580800).

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

145859200 is a wasteful number, since it uses less digits than its factorization.

145859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 145859200 is about 12077.2182227531. The cubic root of 145859200 is about 526.3944185684.

The spelling of 145859200 in words is "one hundred forty-five million, eight hundred fifty-nine thousand, two hundred".