145343341440 has 1920 divisors, whose sum is σ = 638209756800. Its totient is φ = 31337349120.

The previous prime is 145343341433. The next prime is 145343341447. The reversal of 145343341440 is 44143343541.

145343341440 is a `hidden beast` number, since 14 + 534 + 33 + 41 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (145343341433) and next prime (145343341447).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×145343341440³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145343341395 and 145343341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145343341447) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3092411497 + ... + 3092411543.

It is an arithmetic number, because the mean of its divisors is an integer number (332400915).

Almost surely, 2^145343341440 is an apocalyptic number.

145343341440 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 145343341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319104878400).

145343341440 is an abundant number, since it is smaller than the sum of its proper divisors (492866415360).

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

145343341440 is a wasteful number, since it uses less digits than its factorization.

145343341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 145343341440 its reverse (44143343541), we get a palindrome (189486684981).

The spelling of 145343341440 in words is "one hundred forty-five billion, three hundred forty-three million, three hundred forty-one thousand, four hundred forty".