145788300 has 216 divisors, whose sum is σ = 531070176. Its totient is φ = 32762880.

The previous prime is 145788239. The next prime is 145788301. The reversal of 145788300 is 3887541.

145788300 is a `hidden beast` number, since 1 + 4 + 578 + 83 + 0 + 0 = 666.

145788300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (145788301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459742 + ... + 460058.

Almost surely, 2^145788300 is an apocalyptic number.

145788300 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 145788300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265535088).

145788300 is an abundant number, since it is smaller than the sum of its proper divisors (385281876).

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

145788300 is a wasteful number, since it uses less digits than its factorization.

145788300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145788300 is about 12074.2825873838. The cubic root of 145788300 is about 526.3091138978.

The spelling of 145788300 in words is "one hundred forty-five million, seven hundred eighty-eight thousand, three hundred".