121457133 has 36 divisors (see below), whose sum is σ = 211140540. Its totient is φ = 67003776.

The previous prime is 121457123. The next prime is 121457153. The reversal of 121457133 is 331754121.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 92102409 = 5418^2 + 9597^2 .

It is not a de Polignac number, because 121457133 - 2⁴ = 121457117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121457097 and 121457106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121457123) 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 35 ways as a sum of consecutive naturals, for example, 8041 + ... + 17537.

It is an arithmetic number, because the mean of its divisors is an integer number (5865015).

Almost surely, 2^121457133 is an apocalyptic number.

It is an amenable number.

121457133 is a deficient number, since it is larger than the sum of its proper divisors (89683407).

121457133 is a wasteful number, since it uses less digits than its factorization.

121457133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9536 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 121457133 is about 11020.7591843756. The cubic root of 121457133 is about 495.2308320400.

The spelling of 121457133 in words is "one hundred twenty-one million, four hundred fifty-seven thousand, one hundred thirty-three".