152317940449152 has 512 divisors, whose sum is σ = 432832628067840. Its totient is φ = 47394334310400.

The previous prime is 152317940449117. The next prime is 152317940449271. The reversal of 152317940449152 is 251944049713251.

It is a happy number.

It is a super-3 number, since 3×152317940449152³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152317940449092 and 152317940449101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8209872708 + ... + 8209891260.

It is an arithmetic number, because the mean of its divisors is an integer number (845376226695).

Almost surely, 2^{152317940449152} is an apocalyptic number.

152317940449152 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 152317940449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216416314033920).

152317940449152 is an abundant number, since it is smaller than the sum of its proper divisors (280514687618688).

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

152317940449152 is a wasteful number, since it uses less digits than its factorization.

152317940449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902 (or 18890 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 152317940449152 in words is "one hundred fifty-two trillion, three hundred seventeen billion, nine hundred forty million, four hundred forty-nine thousand, one hundred fifty-two".