2138165003520 has 648 divisors, whose sum is σ = 9267640743816. Its totient is φ = 451127771136.

The previous prime is 2138165003461. The next prime is 2138165003521. The reversal of 2138165003520 is 253005618312.

2138165003520 is a `hidden beast` number, since 2 + 1 + 3 + 81 + 6 + 50 + 0 + 3 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5817417984 + 2132347585536 = 76272^2 + 1460256^2 .

It is a super-2 number, since 2×2138165003520² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138165003521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7192554 + ... + 7483926.

Almost surely, 2^{2138165003520} is an apocalyptic number.

2138165003520 is a gapful number since it is divisible by the number (20) 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 2138165003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633820371908).

2138165003520 is an abundant number, since it is smaller than the sum of its proper divisors (7129475740296).

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

2138165003520 is a wasteful number, since it uses less digits than its factorization.

2138165003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291427 (or 291403 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2138165003520 in words is "two trillion, one hundred thirty-eight billion, one hundred sixty-five million, three thousand, five hundred twenty".