1506132000 has 576 divisors, whose sum is σ = 5960957184. Its totient is φ = 358195200.

The previous prime is 1506131981. The next prime is 1506132011. The reversal of 1506132000 is 2316051.

1506132000 is a `hidden beast` number, since 1 + 50 + 613 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14075947 + ... + 14076053.

It is an arithmetic number, because the mean of its divisors is an integer number (10348884).

Almost surely, 2^1506132000 is an apocalyptic number.

1506132000 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 1506132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980478592).

1506132000 is an abundant number, since it is smaller than the sum of its proper divisors (4454825184).

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

1506132000 is a wasteful number, since it uses less digits than its factorization.

1506132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1506132000 is about 38808.9165012372. The cubic root of 1506132000 is about 1146.2719857342.

Adding to 1506132000 its reverse (2316051), we get a palindrome (1508448051).

The spelling of 1506132000 in words is "one billion, five hundred six million, one hundred thirty-two thousand".