151685359656480 has 1728 divisors, whose sum is σ = 605804446971360. Its totient is φ = 34327063166976.

The previous prime is 151685359656449. The next prime is 151685359656503. The reversal of 151685359656480 is 84656953586151.

151685359656480 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 8 + 5 + 3 + 5 + 96 + 56 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1829862220176 + 149855497436304 = 1352724^2 + 12241548^2 .

It is a super-3 number, since 3×151685359656480³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 151685359656399 and 151685359656408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 163278104656 + ... + 163278105584.

Almost surely, 2^{151685359656480} is an apocalyptic number.

151685359656480 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 151685359656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302902223485680).

151685359656480 is an abundant number, since it is smaller than the sum of its proper divisors (454119087314880).

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

151685359656480 is a wasteful number, since it uses less digits than its factorization.

151685359656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 151685359656480 in words is "one hundred fifty-one trillion, six hundred eighty-five billion, three hundred fifty-nine million, six hundred fifty-six thousand, four hundred eighty".