1500151264 has 96 divisors (see below), whose sum is σ = 3333851136. Its totient is φ = 660633600.

The previous prime is 1500151253. The next prime is 1500151267. The reversal of 1500151264 is 4621510051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500151267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586789 + ... + 589339.

It is an arithmetic number, because the mean of its divisors is an integer number (34727616).

Almost surely, 2^1500151264 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 1500151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666925568).

1500151264 is an abundant number, since it is smaller than the sum of its proper divisors (1833699872).

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

1500151264 is a wasteful number, since it uses less digits than its factorization.

1500151264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1500151264 is about 38731.7862226879. The cubic root of 1500151264 is about 1144.7527199389.

The spelling of 1500151264 in words is "one billion, five hundred million, one hundred fifty-one thousand, two hundred sixty-four".