145678800 has 120 divisors (see below), whose sum is σ = 473334784. Its totient is φ = 38292480.

The previous prime is 145678789. The next prime is 145678801. The reversal of 145678800 is 8876541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145678801) by changing a digit.

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, 86769 + ... + 88431.

Almost surely, 2^145678800 is an apocalyptic number.

145678800 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 145678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236667392).

145678800 is an abundant number, since it is smaller than the sum of its proper divisors (327655984).

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

145678800 is a wasteful number, since it uses less digits than its factorization.

145678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 145678800 is about 12069.7473047285. The cubic root of 145678800 is about 526.1773125515.

The spelling of 145678800 in words is "one hundred forty-five million, six hundred seventy-eight thousand, eight hundred".