151388128 has 96 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 67123200.

The previous prime is 151388101. The next prime is 151388129. The reversal of 151388128 is 821883151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151388129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792513 + ... + 792703.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2^151388128 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 151388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

151388128 is an abundant number, since it is smaller than the sum of its proper divisors (183042080).

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

151388128 is a wasteful number, since it uses less digits than its factorization.

151388128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 15360, while the sum is 37.

The square root of 151388128 is about 12303.9882964834. The cubic root of 151388128 is about 532.9632613275.

The spelling of 151388128 in words is "one hundred fifty-one million, three hundred eighty-eight thousand, one hundred twenty-eight".