145114400 has 72 divisors (see below), whose sum is σ = 372944880. Its totient is φ = 54984960.

The previous prime is 145114393. The next prime is 145114423. The reversal of 145114400 is 4411541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10427 + ... + 19973.

It is an arithmetic number, because the mean of its divisors is an integer number (5179790).

Almost surely, 2^145114400 is an apocalyptic number.

145114400 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 145114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186472440).

145114400 is an abundant number, since it is smaller than the sum of its proper divisors (227830480).

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

145114400 is a wasteful number, since it uses less digits than its factorization.

145114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 145114400 is about 12046.3438436731. The cubic root of 145114400 is about 525.4969142523.

Adding to 145114400 its reverse (4411541), we get a palindrome (149525941).

It can be divided in two parts, 1451 and 14400, that added together give a palindrome (15851).

The spelling of 145114400 in words is "one hundred forty-five million, one hundred fourteen thousand, four hundred".