144634000 has 80 divisors (see below), whose sum is σ = 399724416. Its totient is φ = 49584000.

The previous prime is 144633967. The next prime is 144634001. The reversal of 144634000 is 436441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) 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 (144634001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8835 + ... + 19165.

Almost surely, 2^144634000 is an apocalyptic number.

144634000 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 144634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208).

144634000 is an abundant number, since it is smaller than the sum of its proper divisors (255090416).

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

144634000 is a wasteful number, since it uses less digits than its factorization.

144634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144634000 is about 12026.3876538219. The cubic root of 144634000 is about 524.9163888012.

The spelling of 144634000 in words is "one hundred forty-four million, six hundred thirty-four thousand".