1137577984 has 117 divisors (see below), whose sum is σ = 2497034541. Its totient is φ = 518062080.

The previous prime is 1137577951. The next prime is 1137578009. The reversal of 1137577984 is 4897757311.

The square root of 1137577984 is 33728.

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., 885657600 + 251920384 = 29760^2 + 15872^2 .

It is a Duffinian number.

Its product of digits (1481760) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36696049 + ... + 36696079.

Almost surely, 2^1137577984 is an apocalyptic number.

1137577984 is the 33728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137577984

1137577984 is an abundant number, since it is smaller than the sum of its proper divisors (1359456557).

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

1137577984 is an frugal number, since it uses more digits than its factorization.

1137577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 50 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 52.

The cubic root of 1137577984 is about 1043.9035940005.

It can be divided in two parts, 1137 and 577984, that added together give a square (579121 = 761²).

The spelling of 1137577984 in words is "one billion, one hundred thirty-seven million, five hundred seventy-seven thousand, nine hundred eighty-four".