1530152832 has 128 divisors (see below), whose sum is σ = 4567772160. Its totient is φ = 450312192.

The previous prime is 1530152831. The next prime is 1530152837. The reversal of 1530152832 is 2382510351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1530152832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530152831) by changing a digit.

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, 108153 + ... + 121479.

It is an arithmetic number, because the mean of its divisors is an integer number (35685720).

Almost surely, 2^1530152832 is an apocalyptic number.

1530152832 is a gapful number since it is divisible by the number (12) 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 1530152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283886080).

1530152832 is an abundant number, since it is smaller than the sum of its proper divisors (3037619328).

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

1530152832 is a wasteful number, since it uses less digits than its factorization.

1530152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1530152832 is about 39117.1679956512. The cubic root of 1530152832 is about 1152.3337189032. Note that the first 3 decimals are identical.

The spelling of 1530152832 in words is "one billion, five hundred thirty million, one hundred fifty-two thousand, eight hundred thirty-two".