145313400 has 96 divisors (see below), whose sum is σ = 454256640. Its totient is φ = 38424960.

The previous prime is 145313353. The next prime is 145313417. The reversal of 145313400 is 4313541.

It is a super-2 number, since 2×145313400² = 42231968439120000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 75247 + ... + 77153.

It is an arithmetic number, because the mean of its divisors is an integer number (4731840).

Almost surely, 2^145313400 is an apocalyptic number.

145313400 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 145313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227128320).

145313400 is an abundant number, since it is smaller than the sum of its proper divisors (308943240).

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

145313400 is a wasteful number, since it uses less digits than its factorization.

145313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145313400 is about 12054.6007814444. The cubic root of 145313400 is about 525.7370147534.

Adding to 145313400 its reverse (4313541), we get a palindrome (149626941).

The spelling of 145313400 in words is "one hundred forty-five million, three hundred thirteen thousand, four hundred".