145399082932992 has 864 divisors, whose sum is σ = 468197296519680. Its totient is φ = 39224947507200.

The previous prime is 145399082932991. The next prime is 145399082933023. The reversal of 145399082932992 is 299239280993541.

It is a super-2 number, since 2×145399082932992² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145399082932991) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90817664992 + ... + 90817666592.

It is an arithmetic number, because the mean of its divisors is an integer number (541895019120).

Almost surely, 2^{145399082932992} is an apocalyptic number.

145399082932992 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 145399082932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234098648259840).

145399082932992 is an abundant number, since it is smaller than the sum of its proper divisors (322798213586688).

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

145399082932992 is a wasteful number, since it uses less digits than its factorization.

145399082932992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 75.

The spelling of 145399082932992 in words is "one hundred forty-five trillion, three hundred ninety-nine billion, eighty-two million, nine hundred thirty-two thousand, nine hundred ninety-two".