151111086672 has 320 divisors, whose sum is σ = 516078080000. Its totient is φ = 37754906112.

The previous prime is 151111086661. The next prime is 151111086703. The reversal of 151111086672 is 276680111151.

It is a happy number.

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 151111086672.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4048029 + ... + 4085187.

It is an arithmetic number, because the mean of its divisors is an integer number (1612744000).

Almost surely, 2^151111086672 is an apocalyptic number.

151111086672 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 151111086672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258039040000).

151111086672 is an abundant number, since it is smaller than the sum of its proper divisors (364966993328).

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

151111086672 is a wasteful number, since it uses less digits than its factorization.

151111086672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37223 (or 37203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 151111086672 in words is "one hundred fifty-one billion, one hundred eleven million, eighty-six thousand, six hundred seventy-two".