2138236128 has 216 divisors, whose sum is σ = 7111874952. Its totient is φ = 607606272.

The previous prime is 2138236127. The next prime is 2138236153. The reversal of 2138236128 is 8216328312.

2138236128 is a `hidden beast` number, since 2 + 1 + 38 + 2 + 3 + 612 + 8 = 666.

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 = 2138236092 and 2138236101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138236127) 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, 3908751 + ... + 3909297.

It is an arithmetic number, because the mean of its divisors is an integer number (32925347).

Almost surely, 2^2138236128 is an apocalyptic number.

2138236128 is a gapful number since it is divisible by the number (28) 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 2138236128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555937476).

2138236128 is an abundant number, since it is smaller than the sum of its proper divisors (4973638824).

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

2138236128 is a wasteful number, since it uses less digits than its factorization.

2138236128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2138236128 is about 46241.0653856504. The cubic root of 2138236128 is about 1288.3045908495.

The spelling of 2138236128 in words is "two billion, one hundred thirty-eight million, two hundred thirty-six thousand, one hundred twenty-eight".