151286772 has 72 divisors (see below), whose sum is σ = 436892736. Its totient is φ = 39896064.

The previous prime is 151286767. The next prime is 151286777. The reversal of 151286772 is 277682151.

It is an interprime number because it is at equal distance from previous prime (151286767) and next prime (151286777).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 151286772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151286777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8868 + ... + 19524.

Almost surely, 2^151286772 is an apocalyptic number.

151286772 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 151286772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218446368).

151286772 is an abundant number, since it is smaller than the sum of its proper divisors (285605964).

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

151286772 is a wasteful number, since it uses less digits than its factorization.

151286772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10682 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 151286772 is about 12299.8687797879. The cubic root of 151286772 is about 532.8442932047.

The spelling of 151286772 in words is "one hundred fifty-one million, two hundred eighty-six thousand, seven hundred seventy-two".