145127073662976 has 192 divisors, whose sum is σ = 390213553766400. Its totient is φ = 47963277508608.

The previous prime is 145127073662903. The next prime is 145127073662981. The reversal of 145127073662976 is 679266370721541.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203924115 + ... + 1204044653.

It is an arithmetic number, because the mean of its divisors is an integer number (2032362259200).

Almost surely, 2^{145127073662976} is an apocalyptic number.

145127073662976 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 145127073662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195106776883200).

145127073662976 is an abundant number, since it is smaller than the sum of its proper divisors (245086480103424).

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

145127073662976 is a wasteful number, since it uses less digits than its factorization.

145127073662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122234 (or 122214 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 145127073662976 in words is "one hundred forty-five trillion, one hundred twenty-seven billion, seventy-three million, six hundred sixty-two thousand, nine hundred seventy-six".