1531152000 has 768 divisors, whose sum is σ = 6619392000. Its totient is φ = 338688000.

The previous prime is 1531151989. The next prime is 1531152043. The reversal of 1531152000 is 2511351.

1531152000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49391985 + ... + 49392015.

It is an arithmetic number, because the mean of its divisors is an integer number (8619000).

Almost surely, 2^1531152000 is an apocalyptic number.

1531152000 is a gapful number since it is divisible by the number (10) 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 1531152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309696000).

1531152000 is an abundant number, since it is smaller than the sum of its proper divisors (5088240000).

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

1531152000 is an equidigital number, since it uses as much as digits as its factorization.

1531152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1531152000 is about 39129.9373881431. The cubic root of 1531152000 is about 1152.5844834965.

Adding to 1531152000 its reverse (2511351), we get a palindrome (1533663351).

The spelling of 1531152000 in words is "one billion, five hundred thirty-one million, one hundred fifty-two thousand".