1215004135140 has 144 divisors (see below), whose sum is σ = 3889727150400. Its totient is φ = 306138196224.

The previous prime is 1215004135129. The next prime is 1215004135153. The reversal of 1215004135140 is 415314005121.

1215004135140 is a `hidden beast` number, since 1 + 2 + 1 + 500 + 4 + 13 + 5 + 140 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827494 + ... + 1764866.

It is an arithmetic number, because the mean of its divisors is an integer number (27011994100).

Almost surely, 2^{1215004135140} is an apocalyptic number.

1215004135140 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 1215004135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944863575200).

1215004135140 is an abundant number, since it is smaller than the sum of its proper divisors (2674723015260).

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

1215004135140 is a wasteful number, since it uses less digits than its factorization.

1215004135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937786 (or 937781 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1215004135140 in words is "one trillion, two hundred fifteen billion, four million, one hundred thirty-five thousand, one hundred forty".