122657153 has 8 divisors (see below), whose sum is σ = 128968680. Its totient is φ = 116484480.

The previous prime is 122657123. The next prime is 122657177. The reversal of 122657153 is 351756221.

It can be written as a sum of positive squares in 4 ways, for example, as 1481089 + 121176064 = 1217^2 + 11008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122657153 - 2⁶ = 122657089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122657123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32900 + ... + 36437.

It is an arithmetic number, because the mean of its divisors is an integer number (16121085).

Almost surely, 2^122657153 is an apocalyptic number.

It is an amenable number.

122657153 is a deficient number, since it is larger than the sum of its proper divisors (6311527).

122657153 is an equidigital number, since it uses as much as digits as its factorization.

122657153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69427.

The product of its digits is 12600, while the sum is 32.

The square root of 122657153 is about 11075.0689839838. The cubic root of 122657153 is about 496.8564820070.

The spelling of 122657153 in words is "one hundred twenty-two million, six hundred fifty-seven thousand, one hundred fifty-three".