1977839136 has 216 divisors, whose sum is σ = 7046705484. Its totient is φ = 521579520.

The previous prime is 1977839131. The next prime is 1977839147. The reversal of 1977839136 is 6319387791.

1977839136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1799456400 + 178382736 = 42420^2 + 13356^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1977839131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178066 + ... + 188846.

Almost surely, 2^1977839136 is an apocalyptic number.

1977839136 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 1977839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523352742).

1977839136 is an abundant number, since it is smaller than the sum of its proper divisors (5068866348).

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

1977839136 is a wasteful number, since it uses less digits than its factorization.

1977839136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10824 (or 10806 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 1977839136 is about 44472.9033907165. The cubic root of 1977839136 is about 1255.2502659050.

The spelling of 1977839136 in words is "one billion, nine hundred seventy-seven million, eight hundred thirty-nine thousand, one hundred thirty-six".