145714800 has 480 divisors, whose sum is σ = 619960320. Its totient is φ = 28339200.

The previous prime is 145714799. The next prime is 145714801. The reversal of 145714800 is 8417541.

It is an interprime number because it is at equal distance from previous prime (145714799) and next prime (145714801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145714801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755559 + ... + 1755641.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^145714800 is an apocalyptic number.

145714800 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 145714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980160).

145714800 is an abundant number, since it is smaller than the sum of its proper divisors (474245520).

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

145714800 is a wasteful number, since it uses less digits than its factorization.

145714800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 145714800 is about 12071.2385445736. The cubic root of 145714800 is about 526.2206517863.

The spelling of 145714800 in words is "one hundred forty-five million, seven hundred fourteen thousand, eight hundred".