145826883072 has 480 divisors, whose sum is σ = 482111517888. Its totient is φ = 42088071168.

The previous prime is 145826883067. The next prime is 145826883073. The reversal of 145826883072 is 270388628541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145826883073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73021978 + ... + 73023974.

Almost surely, 2^145826883072 is an apocalyptic number.

145826883072 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 145826883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241055758944).

145826883072 is an abundant number, since it is smaller than the sum of its proper divisors (336284634816).

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

145826883072 is a wasteful number, since it uses less digits than its factorization.

145826883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 145826883072 in words is "one hundred forty-five billion, eight hundred twenty-six million, eight hundred eighty-three thousand, seventy-two".