1137278976 has 128 divisors (see below), whose sum is σ = 3170845440. Its totient is φ = 361889792.

The previous prime is 1137278963. The next prime is 1137278977. The reversal of 1137278976 is 6798727311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137278977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260741 + ... + 2261243.

It is an arithmetic number, because the mean of its divisors is an integer number (24772230).

Almost surely, 2^1137278976 is an apocalyptic number.

1137278976 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 1137278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585422720).

1137278976 is an abundant number, since it is smaller than the sum of its proper divisors (2033566464).

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

1137278976 is an frugal number, since it uses more digits than its factorization.

1137278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 1137278976 is about 33723.5670711151. The cubic root of 1137278976 is about 1043.8121239703.

The spelling of 1137278976 in words is "one billion, one hundred thirty-seven million, two hundred seventy-eight thousand, nine hundred seventy-six".