2153137345 has 16 divisors (see below), whose sum is σ = 2648535120. Its totient is φ = 1679385600.

The previous prime is 2153137309. The next prime is 2153137381. The reversal of 2153137345 is 5437313512.

It is an interprime number because it is at equal distance from previous prime (2153137309) and next prime (2153137381).

It can be written as a sum of positive squares in 8 ways, for example, as 651729841 + 1501407504 = 25529^2 + 38748^2 .

It is not a de Polignac number, because 2153137345 - 2⁹ = 2153136833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2153137345.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452941 + ... + 457669.

It is an arithmetic number, because the mean of its divisors is an integer number (165533445).

Almost surely, 2^2153137345 is an apocalyptic number.

It is an amenable number.

2153137345 is a deficient number, since it is larger than the sum of its proper divisors (495397775).

2153137345 is a wasteful number, since it uses less digits than its factorization.

2153137345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996.

The product of its digits is 37800, while the sum is 34.

The square root of 2153137345 is about 46401.9110059058. The cubic root of 2153137345 is about 1291.2903669891.

The spelling of 2153137345 in words is "two billion, one hundred fifty-three million, one hundred thirty-seven thousand, three hundred forty-five".