144897140736 has 384 divisors, whose sum is σ = 442810368000. Its totient is φ = 46792359936.

The previous prime is 144897140701. The next prime is 144897140753. The reversal of 144897140736 is 637041798441.

It is a happy number.

144897140736 is a `hidden beast` number, since 1 + 448 + 97 + 1 + 40 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330061605 + ... + 330062043.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152000).

Almost surely, 2^144897140736 is an apocalyptic number.

144897140736 is a gapful number since it is divisible by the number (16) 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 144897140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221405184000).

144897140736 is an abundant number, since it is smaller than the sum of its proper divisors (297913227264).

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

144897140736 is a wasteful number, since it uses less digits than its factorization.

144897140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 144897140736 in words is "one hundred forty-four billion, eight hundred ninety-seven million, one hundred forty thousand, seven hundred thirty-six".