151329381312 has 224 divisors, whose sum is σ = 422994124800. Its totient is φ = 47676690432.

The previous prime is 151329381257. The next prime is 151329381319. The reversal of 151329381312 is 213183923151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151329381319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90996993 + ... + 90998655.

Almost surely, 2^151329381312 is an apocalyptic number.

151329381312 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 151329381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211497062400).

151329381312 is an abundant number, since it is smaller than the sum of its proper divisors (271664743488).

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

151329381312 is a wasteful number, since it uses less digits than its factorization.

151329381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The spelling of 151329381312 in words is "one hundred fifty-one billion, three hundred twenty-nine million, three hundred eighty-one thousand, three hundred twelve".