1772134128 has 180 divisors, whose sum is σ = 5334849520. Its totient is φ = 548978688.

The previous prime is 1772134081. The next prime is 1772134141. The reversal of 1772134128 is 8214312771.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1772134092 and 1772134101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4036533 + ... + 4036971.

Almost surely, 2^1772134128 is an apocalyptic number.

1772134128 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 1772134128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667424760).

1772134128 is an abundant number, since it is smaller than the sum of its proper divisors (3562715392).

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

1772134128 is a wasteful number, since it uses less digits than its factorization.

1772134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 558 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1772134128 is about 42096.7234829505. The cubic root of 1772134128 is about 1210.1304706431.

Adding to 1772134128 its reverse (8214312771), we get a palindrome (9986446899).

The spelling of 1772134128 in words is "one billion, seven hundred seventy-two million, one hundred thirty-four thousand, one hundred twenty-eight".