144906048 has 168 divisors, whose sum is σ = 481510848. Its totient is φ = 40808448.

The previous prime is 144906031. The next prime is 144906071. The reversal of 144906048 is 840609441.

It is a happy number.

144906048 is a `hidden beast` number, since 1 + 4 + 49 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334440 + ... + 334872.

It is an arithmetic number, because the mean of its divisors is an integer number (2866136).

Almost surely, 2^144906048 is an apocalyptic number.

144906048 is a gapful number since it is divisible by the number (18) 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 144906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240755424).

144906048 is an abundant number, since it is smaller than the sum of its proper divisors (336604800).

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

144906048 is a wasteful number, since it uses less digits than its factorization.

144906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144906048 is about 12037.6928021943. The cubic root of 144906048 is about 525.2452948972.

The spelling of 144906048 in words is "one hundred forty-four million, nine hundred six thousand, forty-eight".