153144072 has 48 divisors (see below), whose sum is σ = 420461340. Its totient is φ = 50347008.

The previous prime is 153144067. The next prime is 153144077. The reversal of 153144072 is 270441351.

153144072 is a `hidden beast` number, since 153 + 1 + 440 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (153144067) and next prime (153144077).

It can be written as a sum of positive squares in 2 ways, for example, as 140991876 + 12152196 = 11874^2 + 3486^2 .

It is not an unprimeable number, because it can be changed into a prime (153144077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9313 + ... + 19824.

Almost surely, 2^153144072 is an apocalyptic number.

153144072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153144072 is an abundant number, since it is smaller than the sum of its proper divisors (267317268).

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

153144072 is a wasteful number, since it uses less digits than its factorization.

153144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29222 (or 29215 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 153144072 is about 12375.1392719436. The cubic root of 153144072 is about 535.0159508448.

The spelling of 153144072 in words is "one hundred fifty-three million, one hundred forty-four thousand, seventy-two".