9100134549540 has 144 divisors (see below), whose sum is σ = 28376530444080. Its totient is φ = 2358888791040.

The previous prime is 9100134549533. The next prime is 9100134549547. The reversal of 9100134549540 is 459454310019.

9100134549540 is a `hidden beast` number, since 9 + 10 + 0 + 13 + 45 + 49 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (9100134549533) and next prime (9100134549547).

It can be written as a sum of positive squares in 8 ways, for example, as 1154907011556 + 7945227537984 = 1074666^2 + 2818728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9100134549547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422346 + ... + 7710174.

It is an arithmetic number, because the mean of its divisors is an integer number (197059239195).

Almost surely, 2^{9100134549540} is an apocalyptic number.

9100134549540 is a gapful number since it is divisible by the number (90) 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 9100134549540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188265222040).

9100134549540 is an abundant number, since it is smaller than the sum of its proper divisors (19276395894540).

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

9100134549540 is a wasteful number, since it uses less digits than its factorization.

9100134549540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288942 (or 1288937 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 9100134549540 its reverse (459454310019), we get a palindrome (9559588859559).

The spelling of 9100134549540 in words is "nine trillion, one hundred billion, one hundred thirty-four million, five hundred forty-nine thousand, five hundred forty".