151496928 has 288 divisors, whose sum is σ = 520097760. Its totient is φ = 41287680.

The previous prime is 151496921. The next prime is 151496987. The reversal of 151496928 is 829694151.

151496928 is a `hidden beast` number, since 151 + 496 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151496921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1561776 + ... + 1561872.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^151496928 is an apocalyptic number.

151496928 is a gapful number since it is divisible by the number (18) 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 151496928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048880).

151496928 is an abundant number, since it is smaller than the sum of its proper divisors (368600832).

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

151496928 is a wasteful number, since it uses less digits than its factorization.

151496928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 151496928 is about 12308.4088329889. The cubic root of 151496928 is about 533.0909078783.

The spelling of 151496928 in words is "one hundred fifty-one million, four hundred ninety-six thousand, nine hundred twenty-eight".