1157271133725 has 144 divisors (see below), whose sum is σ = 2394013440000. Its totient is φ = 523442424960.

The previous prime is 1157271133687. The next prime is 1157271133769. The reversal of 1157271133725 is 5273311727511.

1157271133725 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 271 + 1 + 3 + 372 + 5 = 666.

It is not a de Polignac number, because 1157271133725 - 2¹⁴ = 1157271117341 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243172896 + ... + 243177654.

Almost surely, 2^{1157271133725} is an apocalyptic number.

1157271133725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1157271133725 is an abundant number, since it is smaller than the sum of its proper divisors (1236742306275).

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

1157271133725 is a wasteful number, since it uses less digits than its factorization.

1157271133725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6376 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The spelling of 1157271133725 in words is "one trillion, one hundred fifty-seven billion, two hundred seventy-one million, one hundred thirty-three thousand, seven hundred twenty-five".