1157271134140 has 96 divisors (see below), whose sum is σ = 2866165747200. Its totient is φ = 387902027520.

The previous prime is 1157271134093. The next prime is 1157271134203. The reversal of 1157271134140 is 414311727511.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1157271134140.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3586680 + ... + 3895999.

It is an arithmetic number, because the mean of its divisors is an integer number (29855893200).

Almost surely, 2^{1157271134140} is an apocalyptic number.

1157271134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157271134140 is an abundant number, since it is smaller than the sum of its proper divisors (1708894613060).

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

1157271134140 is a wasteful number, since it uses less digits than its factorization.

1157271134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482755 (or 7482753 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 1157271134140 in words is "one trillion, one hundred fifty-seven billion, two hundred seventy-one million, one hundred thirty-four thousand, one hundred forty".