1277000945136 has 240 divisors, whose sum is σ = 4151695734784. Its totient is φ = 358871233536.

The previous prime is 1277000945111. The next prime is 1277000945137. The reversal of 1277000945136 is 6315490007721.

1277000945136 is a `hidden beast` number, since 127 + 7 + 0 + 0 + 0 + 9 + 4 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1277000945091 and 1277000945100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1277000945137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26981685 + ... + 27028971.

Almost surely, 2^{1277000945136} is an apocalyptic number.

1277000945136 is a gapful number since it is divisible by the number (16) 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 1277000945136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075847867392).

1277000945136 is an abundant number, since it is smaller than the sum of its proper divisors (2874694789648).

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

1277000945136 is a wasteful number, since it uses less digits than its factorization.

1277000945136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47748 (or 47739 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1277000945136 in words is "one trillion, two hundred seventy-seven billion, nine hundred forty-five thousand, one hundred thirty-six".