1936134144 has 416 divisors, whose sum is σ = 6825396480. Its totient is φ = 530841600.

The previous prime is 1936134139. The next prime is 1936134173. The reversal of 1936134144 is 4414316391.

It is a super-2 number, since 2×1936134144² = 7497230847125225472, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1936134099 and 1936134108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31739874 + ... + 31739934.

Almost surely, 2^1936134144 is an apocalyptic number.

1936134144 is a gapful number since it is divisible by the number (14) 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 1936134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412698240).

1936134144 is an abundant number, since it is smaller than the sum of its proper divisors (4889262336).

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

1936134144 is an equidigital number, since it uses as much as digits as its factorization.

1936134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1936134144 is about 44001.5243372318. The cubic root of 1936134144 is about 1246.3647221058.

The spelling of 1936134144 in words is "one billion, nine hundred thirty-six million, one hundred thirty-four thousand, one hundred forty-four".