145330413404032 has 128 divisors (see below), whose sum is σ = 322729773984000. Its totient is φ = 64783459639296.

The previous prime is 145330413404027. The next prime is 145330413404039. The reversal of 145330413404032 is 230404314033541.

145330413404032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145330413404032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145330413403982 and 145330413404000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145330413404039) 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, 349852069 + ... + 350267227.

It is an arithmetic number, because the mean of its divisors is an integer number (2521326359250).

Almost surely, 2^{145330413404032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145330413404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161364886992000).

145330413404032 is an abundant number, since it is smaller than the sum of its proper divisors (177399360579968).

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

145330413404032 is a wasteful number, since it uses less digits than its factorization.

145330413404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423676 (or 423664 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 145330413404032 its reverse (230404314033541), we get a palindrome (375734727437573).

The spelling of 145330413404032 in words is "one hundred forty-five trillion, three hundred thirty billion, four hundred thirteen million, four hundred four thousand, thirty-two".