145829400 has 216 divisors, whose sum is σ = 497358420. Its totient is φ = 35338240.

The previous prime is 145829393. The next prime is 145829413. The reversal of 145829400 is 4928541.

145829400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 5028586 + ... + 5028614.

Almost surely, 2^145829400 is an apocalyptic number.

145829400 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 145829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248679210).

145829400 is an abundant number, since it is smaller than the sum of its proper divisors (351529020).

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

145829400 is a wasteful number, since it uses less digits than its factorization.

145829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 145829400 is about 12075.9844319211. The cubic root of 145829400 is about 526.3585675054.

The spelling of 145829400 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, four hundred".