1148131537081 has 15 divisors (see below), whose sum is σ = 1170980469263. Its totient is φ = 1125727355400.

The previous prime is 1148131537039. The next prime is 1148131537129. The reversal of 1148131537081 is 1807351318411.

The square root of 1148131537081 is 1071509.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1103111184681 + 45020352400 = 1050291^2 + 212180^2 .

It is not a de Polignac number, because 1148131537081 - 2¹⁹ = 1148131012793 is a prime.

It is a super-2 number, since 2×1148131537081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1148131537001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11146908076 + ... + 11146908178.

Almost surely, 2^{1148131537081} is an apocalyptic number.

1148131537081 is the 1071509-th square number.

1148131537081 is the 535755-th centered octagonal number.

It is an amenable number.

1148131537081 is a deficient number, since it is larger than the sum of its proper divisors (22848932182).

1148131537081 is an frugal number, since it uses more digits than its factorization.

1148131537081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 1148131537081 in words is "one trillion, one hundred forty-eight billion, one hundred thirty-one million, five hundred thirty-seven thousand, eighty-one".