144974011133952 has 4368 divisors, whose sum is σ = 612124041604320. Its totient is φ = 33911223091200.

The previous prime is 144974011133933. The next prime is 144974011133969. The reversal of 144974011133952 is 259331110479441.

It is a happy number.

144974011133952 is a `hidden beast` number, since 1 + 4 + 4 + 97 + 401 + 113 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3535951491052 + ... + 3535951491092.

Almost surely, 2^{144974011133952} is an apocalyptic number.

144974011133952 is a gapful number since it is divisible by the number (12) 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 144974011133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306062020802160).

144974011133952 is an abundant number, since it is smaller than the sum of its proper divisors (467150030470368).

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

144974011133952 is an frugal number, since it uses more digits than its factorization.

144974011133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 144974011133952 in words is "one hundred forty-four trillion, nine hundred seventy-four billion, eleven million, one hundred thirty-three thousand, nine hundred fifty-two".