152118468495360 has 1536 divisors, whose sum is σ = 575874883584000. Its totient is φ = 38006326296576.

The previous prime is 152118468495359. The next prime is 152118468495361. The reversal of 152118468495360 is 63594864811251.

It is a happy number.

152118468495360 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 1 + 84 + 6 + 8 + 495 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (152118468495359) and next prime (152118468495361).

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (152118468495361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139943392737 + ... + 139943393823.

It is an arithmetic number, because the mean of its divisors is an integer number (374918544000).

Almost surely, 2^{152118468495360} is an apocalyptic number.

152118468495360 is a gapful number since it is divisible by the number (10) 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 152118468495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287937441792000).

152118468495360 is an abundant number, since it is smaller than the sum of its proper divisors (423756415088640).

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

152118468495360 is a wasteful number, since it uses less digits than its factorization.

152118468495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 152118468495360 in words is "one hundred fifty-two trillion, one hundred eighteen billion, four hundred sixty-eight million, four hundred ninety-five thousand, three hundred sixty".