197133120 has 84 divisors (see below), whose sum is σ = 678065700. Its totient is φ = 52568064.

The previous prime is 197133119. The next prime is 197133137. The reversal of 197133120 is 21331791.

197133120 = T₁₆₄₁ + T₁₆₄₂ + ... + T₁₇₇₅.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 159971904 = 6096^2 + 12648^2 .

It is a super-2 number, since 2×197133120² = 77722934001868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31345 + ... + 37104.

Almost surely, 2^197133120 is an apocalyptic number.

197133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197133120 is an abundant number, since it is smaller than the sum of its proper divisors (480932580).

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

197133120 is a wasteful number, since it uses less digits than its factorization.

197133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68472 (or 68459 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 197133120 is about 14040.4102504165. The cubic root of 197133120 is about 581.9958195753.

The spelling of 197133120 in words is "one hundred ninety-seven million, one hundred thirty-three thousand, one hundred twenty".