145711732258976 has 96 divisors (see below), whose sum is σ = 322466483541888. Its totient is φ = 64308121574400.

The previous prime is 145711732258949. The next prime is 145711732258979. The reversal of 145711732258976 is 679852237117541.

It is not an unprimeable number, because it can be changed into a prime (145711732258979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29338826 + ... + 33943926.

It is an arithmetic number, because the mean of its divisors is an integer number (3359025870228).

Almost surely, 2^{145711732258976} is an apocalyptic number.

145711732258976 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 145711732258976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161233241770944).

145711732258976 is an abundant number, since it is smaller than the sum of its proper divisors (176754751282912).

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

145711732258976 is a wasteful number, since it uses less digits than its factorization.

145711732258976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608454 (or 4608446 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 68.

The spelling of 145711732258976 in words is "one hundred forty-five trillion, seven hundred eleven billion, seven hundred thirty-two million, two hundred fifty-eight thousand, nine hundred seventy-six".