155306268 has 144 divisors (see below), whose sum is σ = 445992960. Its totient is φ = 46702656.

The previous prime is 155306227. The next prime is 155306269. The reversal of 155306268 is 862603551.

155306268 is a `hidden beast` number, since 1 + 5 + 530 + 62 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155306269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222821 + ... + 1222947.

Almost surely, 2^155306268 is an apocalyptic number.

155306268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155306268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222996480).

155306268 is an abundant number, since it is smaller than the sum of its proper divisors (290686692).

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

155306268 is a wasteful number, since it uses less digits than its factorization.

155306268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 155306268 is about 12462.1935468841. The cubic root of 155306268 is about 537.5221038684.

The spelling of 155306268 in words is "one hundred fifty-five million, three hundred six thousand, two hundred sixty-eight".