151984096 has 48 divisors (see below), whose sum is σ = 329395248. Its totient is φ = 68454400.

The previous prime is 151984087. The next prime is 151984109. The reversal of 151984096 is 690489151.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37866 + ... + 41686.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^151984096 is an apocalyptic number.

151984096 is a gapful number since it is divisible by the number (16) 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 151984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

151984096 is an abundant number, since it is smaller than the sum of its proper divisors (177411152).

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

151984096 is a wasteful number, since it uses less digits than its factorization.

151984096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 151984096 is about 12328.1829966950. The cubic root of 151984096 is about 533.6617158233.

The spelling of 151984096 in words is "one hundred fifty-one million, nine hundred eighty-four thousand, ninety-six".