145873200 has 240 divisors, whose sum is σ = 523645056. Its totient is φ = 34406400.

The previous prime is 145873187. The next prime is 145873303. The reversal of 145873200 is 2378541.

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 (30).

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, 567472 + ... + 567728.

Almost surely, 2^145873200 is an apocalyptic number.

145873200 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 145873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261822528).

145873200 is an abundant number, since it is smaller than the sum of its proper divisors (377771856).

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

145873200 is a wasteful number, since it uses less digits than its factorization.

145873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145873200 is about 12077.7978125153. The cubic root of 145873200 is about 526.4112596638.

The spelling of 145873200 in words is "one hundred forty-five million, eight hundred seventy-three thousand, two hundred".