144778100 has 72 divisors (see below), whose sum is σ = 345186240. Its totient is φ = 52462080.

The previous prime is 144778087. The next prime is 144778129. The reversal of 144778100 is 1877441.

It is a super-2 number, since 2×144778100² = 41921396479220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 42044 + ... + 45356.

Almost surely, 2^144778100 is an apocalyptic number.

144778100 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 144778100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172593120).

144778100 is an abundant number, since it is smaller than the sum of its proper divisors (200408140).

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

144778100 is a wasteful number, since it uses less digits than its factorization.

144778100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 144778100 is about 12032.3771549931. The cubic root of 144778100 is about 525.0906570580.

The spelling of 144778100 in words is "one hundred forty-four million, seven hundred seventy-eight thousand, one hundred".