151005312 has 96 divisors (see below), whose sum is σ = 457470000. Its totient is φ = 47678976.

The previous prime is 151005307. The next prime is 151005329. The reversal of 151005312 is 213500151.

It is a tau number, because it is divible by the number of its divisors (96).

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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18439 + ... + 25337.

Almost surely, 2^151005312 is an apocalyptic number.

151005312 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 151005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735000).

151005312 is an abundant number, since it is smaller than the sum of its proper divisors (306464688).

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

151005312 is a wasteful number, since it uses less digits than its factorization.

151005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6923 counting only the distinct ones).

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

The square root of 151005312 is about 12288.4218677583. The cubic root of 151005312 is about 532.5136464135.

Adding to 151005312 its reverse (213500151), we get a palindrome (364505463).

The spelling of 151005312 in words is "one hundred fifty-one million, five thousand, three hundred twelve".