145101104568 has 192 divisors, whose sum is σ = 478841587200. Its totient is φ = 40575245760.

The previous prime is 145101104563. The next prime is 145101104573. The reversal of 145101104568 is 865401101541.

It is an interprime number because it is at equal distance from previous prime (145101104563) and next prime (145101104573).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145101104563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351603 + ... + 643293.

It is an arithmetic number, because the mean of its divisors is an integer number (2493966600).

Almost surely, 2^145101104568 is an apocalyptic number.

145101104568 is a gapful number since it is divisible by the number (18) 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 145101104568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239420793600).

145101104568 is an abundant number, since it is smaller than the sum of its proper divisors (333740482632).

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

145101104568 is a wasteful number, since it uses less digits than its factorization.

145101104568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291767 (or 291750 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 145101104568 in words is "one hundred forty-five billion, one hundred one million, one hundred four thousand, five hundred sixty-eight".