151312672 has 48 divisors (see below), whose sum is σ = 341554752. Its totient is φ = 64638720.

The previous prime is 151312669. The next prime is 151312703. The reversal of 151312672 is 276213151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 151312672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82647 + ... + 84457.

It is an arithmetic number, because the mean of its divisors is an integer number (7115724).

Almost surely, 2^151312672 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 151312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170777376).

151312672 is an abundant number, since it is smaller than the sum of its proper divisors (190242080).

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

151312672 is a wasteful number, since it uses less digits than its factorization.

151312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 151312672 is about 12300.9215914906. The cubic root of 151312672 is about 532.8746987705.

The spelling of 151312672 in words is "one hundred fifty-one million, three hundred twelve thousand, six hundred seventy-two".