1134377671100 has 144 divisors (see below), whose sum is σ = 2691660222720. Its totient is φ = 413101977600.

The previous prime is 1134377671079. The next prime is 1134377671109. The reversal of 1134377671100 is 11767734311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134377671109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200099066 + ... + 200104734.

It is an arithmetic number, because the mean of its divisors is an integer number (18692084880).

Almost surely, 2^{1134377671100} is an apocalyptic number.

1134377671100 is a gapful number since it is divisible by the number (10) 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 1134377671100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345830111360).

1134377671100 is an abundant number, since it is smaller than the sum of its proper divisors (1557282551620).

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

1134377671100 is a wasteful number, since it uses less digits than its factorization.

1134377671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The spelling of 1134377671100 in words is "one trillion, one hundred thirty-four billion, three hundred seventy-seven million, six hundred seventy-one thousand, one hundred".