37534800121 has 27 divisors (see below), whose sum is σ = 47302196301. Its totient is φ = 29683914624.

The previous prime is 37534800119. The next prime is 37534800133. The reversal of 37534800121 is 12100843573.

The square root of 37534800121 is 193739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13706555625 + 23828244496 = 117075^2 + 154364^2 .

It is not a de Polignac number, because 37534800121 - 2¹ = 37534800119 is a prime.

It is a super-2 number, since 2×37534800121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37534800101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17629185 + ... + 17631313.

Almost surely, 2^37534800121 is an apocalyptic number.

37534800121 is the 193739-th square number.

37534800121 is the 96870-th centered octagonal number.

It is an amenable number.

37534800121 is a deficient number, since it is larger than the sum of its proper divisors (9767396180).

37534800121 is an frugal number, since it uses more digits than its factorization.

37534800121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 37534800121 in words is "thirty-seven billion, five hundred thirty-four million, eight hundred thousand, one hundred twenty-one".