152459661312 has 156 divisors (see below), whose sum is σ = 503298288480. Its totient is φ = 43559829504.

The previous prime is 152459661257. The next prime is 152459661331. The reversal of 152459661312 is 213166954251.

It is a happy number.

152459661312 is a `hidden beast` number, since 1 + 5 + 2 + 459 + 66 + 131 + 2 = 666.

It is a super-2 number, since 2×152459661312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37362 + ... + 553457.

It is an arithmetic number, because the mean of its divisors is an integer number (3226271080).

Almost surely, 2^152459661312 is an apocalyptic number.

152459661312 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 152459661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251649144240).

152459661312 is an abundant number, since it is smaller than the sum of its proper divisors (350838627168).

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

152459661312 is an equidigital number, since it uses as much as digits as its factorization.

152459661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590856 (or 590831 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 152459661312 in words is "one hundred fifty-two billion, four hundred fifty-nine million, six hundred sixty-one thousand, three hundred twelve".