145624400 has 60 divisors (see below), whose sum is σ = 352325664. Its totient is φ = 57840000.

The previous prime is 145624361. The next prime is 145624403. The reversal of 145624400 is 4426541.

It is a self number, because there is not a number n which added to its sum of digits gives 145624400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145624403) 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 11 ways as a sum of consecutive naturals, for example, 59195 + ... + 61605.

Almost surely, 2^145624400 is an apocalyptic number.

145624400 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 145624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176162832).

145624400 is an abundant number, since it is smaller than the sum of its proper divisors (206701264).

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

145624400 is a wasteful number, since it uses less digits than its factorization.

145624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 145624400 is about 12067.4935259978. The cubic root of 145624400 is about 526.1118086038. Note that the first 3 decimals are identical.

The spelling of 145624400 in words is "one hundred forty-five million, six hundred twenty-four thousand, four hundred".