153009472 has 112 divisors (see below), whose sum is σ = 385511040. Its totient is φ = 58521600.

The previous prime is 153009427. The next prime is 153009497. The reversal of 153009472 is 274900351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300354 + ... + 300862.

Almost surely, 2^153009472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192755520).

153009472 is an abundant number, since it is smaller than the sum of its proper divisors (232501568).

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

153009472 is a wasteful number, since it uses less digits than its factorization.

153009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 153009472 is about 12369.6997538340. The cubic root of 153009472 is about 534.8591611106.

The spelling of 153009472 in words is "one hundred fifty-three million, nine thousand, four hundred seventy-two".