145945800 has 672 divisors, whose sum is σ = 683081280. Its totient is φ = 27993600.

The previous prime is 145945759. The next prime is 145945819. The reversal of 145945800 is 8549541.

145945800 is a `hidden beast` number, since 14 + 594 + 58 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 11226594 + ... + 11226606.

It is an arithmetic number, because the mean of its divisors is an integer number (1016490).

Almost surely, 2^145945800 is an apocalyptic number.

145945800 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 145945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341540640).

145945800 is an abundant number, since it is smaller than the sum of its proper divisors (537135480).

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

145945800 is a wasteful number, since it uses less digits than its factorization.

145945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 145945800 is about 12080.8029534464. The cubic root of 145945800 is about 526.4985754947.

The spelling of 145945800 in words is "one hundred forty-five million, nine hundred forty-five thousand, eight hundred".