145864800 has 180 divisors, whose sum is σ = 532176876. Its totient is φ = 38880000.

The previous prime is 145864787. The next prime is 145864871. The reversal of 145864800 is 8468541.

145864800 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 63675 + ... + 65925.

Almost surely, 2^145864800 is an apocalyptic number.

145864800 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 145864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266088438).

145864800 is an abundant number, since it is smaller than the sum of its proper divisors (386312076).

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

145864800 is a wasteful number, since it uses less digits than its factorization.

145864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145864800 is about 12077.4500619957. The cubic root of 145864800 is about 526.4011551358.

It can be divided in two parts, 1458 and 64800, that multiplied together give a square (94478400 = 9720²).

The spelling of 145864800 in words is "one hundred forty-five million, eight hundred sixty-four thousand, eight hundred".