153122805 has 128 divisors (see below), whose sum is σ = 321177600. Its totient is φ = 69284160.

The previous prime is 153122779. The next prime is 153122807. The reversal of 153122805 is 508221351.

It is a happy number.

It is not a de Polignac number, because 153122805 - 2⁵ = 153122773 is a prime.

It is a super-2 number, since 2×153122805² = 46893186822136050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153122807) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2285382 + ... + 2285448.

It is an arithmetic number, because the mean of its divisors is an integer number (2509200).

Almost surely, 2^153122805 is an apocalyptic number.

153122805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153122805 is an abundant number, since it is smaller than the sum of its proper divisors (168054795).

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

153122805 is an equidigital number, since it uses as much as digits as its factorization.

153122805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 153122805 is about 12374.2799790533. The cubic root of 153122805 is about 534.9911839465.

It can be divided in two parts, 1531 and 22805, that added together give a square (24336 = 156²).

The spelling of 153122805 in words is "one hundred fifty-three million, one hundred twenty-two thousand, eight hundred five".