144461700 has 108 divisors (see below), whose sum is σ = 456234688. Its totient is φ = 38232000.

The previous prime is 144461687. The next prime is 144461701. The reversal of 144461700 is 7164441.

144461700 is a `hidden beast` number, since 1 + 4 + 44 + 617 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144461701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135369 + ... + 136431.

Almost surely, 2^144461700 is an apocalyptic number.

144461700 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 144461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228117344).

144461700 is an abundant number, since it is smaller than the sum of its proper divisors (311772988).

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

144461700 is a wasteful number, since it uses less digits than its factorization.

144461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144461700 is about 12019.2221046123. Note that the first 3 decimals coincide. The cubic root of 144461700 is about 524.7078646829.

It can be divided in two parts, 144461 and 700, that added together give a square (145161 = 381²).

The spelling of 144461700 in words is "one hundred forty-four million, four hundred sixty-one thousand, seven hundred".