145930400 has 288 divisors, whose sum is σ = 467970048. Its totient is φ = 43084800.

The previous prime is 145930391. The next prime is 145930403. The reversal of 145930400 is 4039541.

It is a self number, because there is not a number n which added to its sum of digits gives 145930400.

It is not an unprimeable number, because it can be changed into a prime (145930403) 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 47 ways as a sum of consecutive naturals, for example, 1416749 + ... + 1416851.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^145930400 is an apocalyptic number.

145930400 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 145930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

145930400 is an abundant number, since it is smaller than the sum of its proper divisors (322039648).

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

145930400 is a wasteful number, since it uses less digits than its factorization.

145930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 145930400 is about 12080.1655617794. The cubic root of 145930400 is about 526.4800563749.

Adding to 145930400 its reverse (4039541), we get a palindrome (149969941).

The spelling of 145930400 in words is "one hundred forty-five million, nine hundred thirty thousand, four hundred".