145040042106 has 48 divisors (see below), whose sum is σ = 322971951744. Its totient is φ = 47007192672.

The previous prime is 145040042099. The next prime is 145040042107. The reversal of 145040042106 is 601240040541.

145040042106 is a `hidden beast` number, since 1 + 45 + 0 + 400 + 4 + 210 + 6 = 666.

It is a super-2 number, since 2×145040042106² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145040042106.

It is not an unprimeable number, because it can be changed into a prime (145040042107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888451 + ... + 1038953.

It is an arithmetic number, because the mean of its divisors is an integer number (6728582328).

Almost surely, 2^145040042106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145040042106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161485975872).

145040042106 is an abundant number, since it is smaller than the sum of its proper divisors (177931909638).

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

145040042106 is a wasteful number, since it uses less digits than its factorization.

145040042106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151995 (or 151992 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145040042106 its reverse (601240040541), we get a palindrome (746280082647).

The spelling of 145040042106 in words is "one hundred forty-five billion, forty million, forty-two thousand, one hundred six".