144764527103020 has 48 divisors (see below), whose sum is σ = 336185417399328. Its totient is φ = 51920527772160.

The previous prime is 144764527103011. The next prime is 144764527103023. The reversal of 144764527103020 is 20301725467441.

It is a happy number.

It is a super-2 number, since 2×144764527103020² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144764527103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506974199 + ... + 4507006318.

It is an arithmetic number, because the mean of its divisors is an integer number (7003862862486).

Almost surely, 2^{144764527103020} is an apocalyptic number.

144764527103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144764527103020 is an abundant number, since it is smaller than the sum of its proper divisors (191420890296308).

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

144764527103020 is a wasteful number, since it uses less digits than its factorization.

144764527103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013980610 (or 9013980608 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 144764527103020 in words is "one hundred forty-four trillion, seven hundred sixty-four billion, five hundred twenty-seven million, one hundred three thousand, twenty".