151986912 has 192 divisors, whose sum is σ = 515289600. Its totient is φ = 38062080.

The previous prime is 151986899. The next prime is 151986937. The reversal of 151986912 is 219689151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214014 + ... + 214722.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 2^151986912 is an apocalyptic number.

151986912 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 151986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257644800).

151986912 is an abundant number, since it is smaller than the sum of its proper divisors (363302688).

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

151986912 is a wasteful number, since it uses less digits than its factorization.

151986912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 151986912 is about 12328.2972060216. The cubic root of 151986912 is about 533.6650117430.

The spelling of 151986912 in words is "one hundred fifty-one million, nine hundred eighty-six thousand, nine hundred twelve".