145775400 has 96 divisors (see below), whose sum is σ = 455179200. Its totient is φ = 38592000.

The previous prime is 145775393. The next prime is 145775407. The reversal of 145775400 is 4577541.

It is an interprime number because it is at equal distance from previous prime (145775393) and next prime (145775407).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145775407) 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 23 ways as a sum of consecutive naturals, for example, 89796 + ... + 91404.

It is an arithmetic number, because the mean of its divisors is an integer number (4741450).

Almost surely, 2^145775400 is an apocalyptic number.

145775400 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 145775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227589600).

145775400 is an abundant number, since it is smaller than the sum of its proper divisors (309403800).

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

145775400 is a wasteful number, since it uses less digits than its factorization.

145775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 145775400 is about 12073.7483823376. The cubic root of 145775400 is about 526.2935900461.

The spelling of 145775400 in words is "one hundred forty-five million, seven hundred seventy-five thousand, four hundred".