145035510533440 has 112 divisors (see below), whose sum is σ = 346151965996944. Its totient is φ = 57882238156800.

The previous prime is 145035510533339. The next prime is 145035510533449. The reversal of 145035510533440 is 44335015530541.

It can be written as a sum of positive squares in 8 ways, for example, as 759282191424 + 144276228342016 = 871368^2 + 12011504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145035510533449) 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, 407866120 + ... + 408221560.

Almost surely, 2^{145035510533440} is an apocalyptic number.

145035510533440 is a gapful number since it is divisible by the number (10) 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 145035510533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173075982998472).

145035510533440 is an abundant number, since it is smaller than the sum of its proper divisors (201116455463504).

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

145035510533440 is a wasteful number, since it uses less digits than its factorization.

145035510533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358356 (or 358346 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 43.

The spelling of 145035510533440 in words is "one hundred forty-five trillion, thirty-five billion, five hundred ten million, five hundred thirty-three thousand, four hundred forty".