1157134760727 has 64 divisors (see below), whose sum is σ = 1813363365888. Its totient is φ = 648490752000.

The previous prime is 1157134760699. The next prime is 1157134760729. The reversal of 1157134760727 is 7270674317511.

It is a de Polignac number, because none of the positive numbers 2^k-1157134760727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1157134760727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157134760729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31156773 + ... + 31193889.

It is an arithmetic number, because the mean of its divisors is an integer number (28333802592).

Almost surely, 2^{1157134760727} is an apocalyptic number.

1157134760727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1157134760727 is a deficient number, since it is larger than the sum of its proper divisors (656228605161).

1157134760727 is a wasteful number, since it uses less digits than its factorization.

1157134760727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38120.

The product of its (nonzero) digits is 1728720, while the sum is 51.

It can be divided in two parts, 1157134 and 760727, that added together give a triangular number (1917861 = T₁₉₅₈).

The spelling of 1157134760727 in words is "one trillion, one hundred fifty-seven billion, one hundred thirty-four million, seven hundred sixty thousand, seven hundred twenty-seven".