151490128 has 40 divisors (see below), whose sum is σ = 311665320. Its totient is φ = 71086080.

The previous prime is 151490093. The next prime is 151490147. The reversal of 151490128 is 821094151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24522304 + 126967824 = 4952^2 + 11268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151490128.

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 7 ways as a sum of consecutive naturals, for example, 141178 + ... + 142246.

It is an arithmetic number, because the mean of its divisors is an integer number (7791633).

Almost surely, 2^151490128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151490128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155832660).

151490128 is an abundant number, since it is smaller than the sum of its proper divisors (160175192).

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

151490128 is a wasteful number, since it uses less digits than its factorization.

151490128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 151490128 is about 12308.1325959708. The cubic root of 151490128 is about 533.0829317597.

The spelling of 151490128 in words is "one hundred fifty-one million, four hundred ninety thousand, one hundred twenty-eight".