2137872528 has 150 divisors (see below), whose sum is σ = 6801770822. Its totient is φ = 647792640.

The previous prime is 2137872523. The next prime is 2137872577. The reversal of 2137872528 is 8252787312.

2137872528 is a `hidden beast` number, since 21 + 37 + 8 + 72 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 170772624 = 44352^2 + 13068^2 .

It is a super-2 number, since 2×2137872528² = 9140997891954221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2137872523) 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 29 ways as a sum of consecutive naturals, for example, 150000 + ... + 163632.

Almost surely, 2^2137872528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137872528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400885411).

2137872528 is an abundant number, since it is smaller than the sum of its proper divisors (4663898294).

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

2137872528 is a wasteful number, since it uses less digits than its factorization.

2137872528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13649 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 2137872528 is about 46237.1336481837. The cubic root of 2137872528 is about 1288.2315627280.

The spelling of 2137872528 in words is "two billion, one hundred thirty-seven million, eight hundred seventy-two thousand, five hundred twenty-eight".