151329312 has 72 divisors (see below), whose sum is σ = 434859516. Its totient is φ = 49913856.

The previous prime is 151329307. The next prime is 151329313. The reversal of 151329312 is 213923151.

151329312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 11048976 = 11844^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (151329313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25228 + ... + 30644.

Almost surely, 2^151329312 is an apocalyptic number.

151329312 is a gapful number since it is divisible by the number (12) 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 151329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217429758).

151329312 is an abundant number, since it is smaller than the sum of its proper divisors (283530204).

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

151329312 is a wasteful number, since it uses less digits than its factorization.

151329312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5519 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 151329312 is about 12301.5979449826. The cubic root of 151329312 is about 532.8942316355.

The spelling of 151329312 in words is "one hundred fifty-one million, three hundred twenty-nine thousand, three hundred twelve".