145675200 has 336 divisors, whose sum is σ = 544250880. Its totient is φ = 33792000.

The previous prime is 145675183. The next prime is 145675213. The reversal of 145675200 is 2576541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1636756 + ... + 1636844.

Almost surely, 2^145675200 is an apocalyptic number.

145675200 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 145675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

145675200 is an abundant number, since it is smaller than the sum of its proper divisors (398575680).

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

145675200 is a wasteful number, since it uses less digits than its factorization.

145675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 145675200 is about 12069.5981706103. The cubic root of 145675200 is about 526.1729782354.

The spelling of 145675200 in words is "one hundred forty-five million, six hundred seventy-five thousand, two hundred".