2138136192 has 48 divisors (see below), whose sum is σ = 6152712930. Its totient is φ = 712711680.

The previous prime is 2138136181. The next prime is 2138136199. The reversal of 2138136192 is 2916318312.

2138136192 is a `hidden beast` number, since 2 + 1 + 38 + 1 + 3 + 619 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2059707456 + 78428736 = 45384^2 + 8856^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (2138136199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 926859 + ... + 929162.

Almost surely, 2^2138136192 is an apocalyptic number.

It is an amenable number.

2138136192 is an abundant number, since it is smaller than the sum of its proper divisors (4014576738).

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

2138136192 is a wasteful number, since it uses less digits than its factorization.

2138136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856041 (or 1856026 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2138136192 is about 46239.9847750840. The cubic root of 2138136192 is about 1288.2845197870.

The spelling of 2138136192 in words is "two billion, one hundred thirty-eight million, one hundred thirty-six thousand, one hundred ninety-two".