145041600 has 336 divisors, whose sum is σ = 539715456. Its totient is φ = 33792000.

The previous prime is 145041599. The next prime is 145041619. The reversal of 145041600 is 6140541.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2164767 + ... + 2164833.

It is an arithmetic number, because the mean of its divisors is an integer number (1606296).

Almost surely, 2^145041600 is an apocalyptic number.

145041600 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 145041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269857728).

145041600 is an abundant number, since it is smaller than the sum of its proper divisors (394673856).

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

145041600 is a wasteful number, since it uses less digits than its factorization.

145041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145041600 is about 12043.3218008986. The cubic root of 145041600 is about 525.4090236535.

The spelling of 145041600 in words is "one hundred forty-five million, forty-one thousand, six hundred".