145340111540 has 72 divisors (see below), whose sum is σ = 331003339128. Its totient is φ = 53582031360.

The previous prime is 145340111503. The next prime is 145340111549. The reversal of 145340111540 is 45111043541.

145340111540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 101932055824 + 43408055716 = 319268^2 + 208346^2 .

It is a super-2 number, since 2×145340111540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145340111549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201654 + ... + 2266706.

It is an arithmetic number, because the mean of its divisors is an integer number (4597268599).

Almost surely, 2^145340111540 is an apocalyptic number.

145340111540 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 145340111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165501669564).

145340111540 is an abundant number, since it is smaller than the sum of its proper divisors (185663227588).

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

145340111540 is a wasteful number, since it uses less digits than its factorization.

145340111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65749 (or 65734 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 145340111540 in words is "one hundred forty-five billion, three hundred forty million, one hundred eleven thousand, five hundred forty".