151331328 has 200 divisors, whose sum is σ = 467899740. Its totient is φ = 48660480.

The previous prime is 151331293. The next prime is 151331347. The reversal of 151331328 is 823133151.

151331328 is a `hidden beast` number, since 1 + 5 + 1 + 331 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 28387584 = 11088^2 + 5328^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700308 + ... + 1700396.

Almost surely, 2^151331328 is an apocalyptic number.

151331328 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 151331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233949870).

151331328 is an abundant number, since it is smaller than the sum of its proper divisors (316568412).

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

151331328 is an frugal number, since it uses more digits than its factorization.

151331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 151331328 is about 12301.6798852840. The cubic root of 151331328 is about 532.8965980199.

Adding to 151331328 its reverse (823133151), we get a palindrome (974464479).

It can be divided in two parts, 15133 and 1328, that added together give a palindrome (16461).

The spelling of 151331328 in words is "one hundred fifty-one million, three hundred thirty-one thousand, three hundred twenty-eight".