152971104 has 144 divisors (see below), whose sum is σ = 475793136. Its totient is φ = 42746880.

The previous prime is 152971067. The next prime is 152971111. The reversal of 152971104 is 401179251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150502 + ... + 151514.

It is an arithmetic number, because the mean of its divisors is an integer number (3304119).

Almost surely, 2^152971104 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 152971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237896568).

152971104 is an abundant number, since it is smaller than the sum of its proper divisors (322822032).

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

152971104 is a wasteful number, since it uses less digits than its factorization.

152971104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 152971104 is about 12368.1487701272. The cubic root of 152971104 is about 534.8144510423.

The spelling of 152971104 in words is "one hundred fifty-two million, nine hundred seventy-one thousand, one hundred four".