145999800 has 192 divisors, whose sum is σ = 529728000. Its totient is φ = 36858240.

The previous prime is 145999787. The next prime is 145999823. The reversal of 145999800 is 8999541.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 101889 + ... + 103311.

It is an arithmetic number, because the mean of its divisors is an integer number (2759000).

Almost surely, 2^145999800 is an apocalyptic number.

145999800 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 145999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264864000).

145999800 is an abundant number, since it is smaller than the sum of its proper divisors (383728200).

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

145999800 is a wasteful number, since it uses less digits than its factorization.

145999800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 145999800 is about 12083.0376975329. The cubic root of 145999800 is about 526.5635023770.

The spelling of 145999800 in words is "one hundred forty-five million, nine hundred ninety-nine thousand, eight hundred".