145441334736 has 120 divisors (see below), whose sum is σ = 413928070400. Its totient is φ = 47660140800.

The previous prime is 145441334719. The next prime is 145441334861. The reversal of 145441334736 is 637433144541.

It is a happy number.

145441334736 is a `hidden beast` number, since 1 + 4 + 5 + 44 + 133 + 473 + 6 = 666.

145441334736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145441334691 and 145441334700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23458965 + ... + 23465163.

Almost surely, 2^145441334736 is an apocalyptic number.

145441334736 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 145441334736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206964035200).

145441334736 is an abundant number, since it is smaller than the sum of its proper divisors (268486735664).

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

145441334736 is a wasteful number, since it uses less digits than its factorization.

145441334736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8936 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 145441334736 in words is "one hundred forty-five billion, four hundred forty-one million, three hundred thirty-four thousand, seven hundred thirty-six".