1136129275008 has 2304 divisors, whose sum is σ = 4717271520000. Its totient is φ = 255058771968.

The previous prime is 1136129275007. The next prime is 1136129275009. The reversal of 1136129275008 is 8005729216311.

1136129275008 is a `hidden beast` number, since 1 + 1 + 3 + 612 + 9 + 27 + 5 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1136129275007) and next prime (1136129275009).

It is not an unprimeable number, because it can be changed into a prime (1136129275007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12765497428 + ... + 12765497516.

It is an arithmetic number, because the mean of its divisors is an integer number (2047426875).

Almost surely, 2^{1136129275008} is an apocalyptic number.

1136129275008 is a gapful number since it is divisible by the number (18) 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 1136129275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358635760000).

1136129275008 is an abundant number, since it is smaller than the sum of its proper divisors (3581142244992).

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

1136129275008 is a wasteful number, since it uses less digits than its factorization.

1136129275008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1136129275008 in words is "one trillion, one hundred thirty-six billion, one hundred twenty-nine million, two hundred seventy-five thousand, eight".