2137312128 has 128 divisors (see below), whose sum is σ = 6829920000. Its totient is φ = 578506752.

The previous prime is 2137312123. The next prime is 2137312139. The reversal of 2137312128 is 8212137312.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2137312095 and 2137312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137312123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30148 + ... + 71996.

It is an arithmetic number, because the mean of its divisors is an integer number (53358750).

Almost surely, 2^2137312128 is an apocalyptic number.

2137312128 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 2137312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960000).

2137312128 is an abundant number, since it is smaller than the sum of its proper divisors (4692607872).

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

2137312128 is a wasteful number, since it uses less digits than its factorization.

2137312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41892 (or 41880 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 2137312128 is about 46231.0731867648. The cubic root of 2137312128 is about 1288.1189916171.

The spelling of 2137312128 in words is "two billion, one hundred thirty-seven million, three hundred twelve thousand, one hundred twenty-eight".