151204566656 has 128 divisors (see below), whose sum is σ = 360569543040. Its totient is φ = 62245048320.

The previous prime is 151204566613. The next prime is 151204566679. The reversal of 151204566656 is 656665402151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 151204566656.

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 15 ways as a sum of consecutive naturals, for example, 892181 + ... + 1048043.

It is an arithmetic number, because the mean of its divisors is an integer number (2816949555).

Almost surely, 2^151204566656 is an apocalyptic number.

151204566656 is a gapful number since it is divisible by the number (16) 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 151204566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180284771520).

151204566656 is an abundant number, since it is smaller than the sum of its proper divisors (209364976384).

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

151204566656 is a wasteful number, since it uses less digits than its factorization.

151204566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155954 (or 155942 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 151204566656 in words is "one hundred fifty-one billion, two hundred four million, five hundred sixty-six thousand, six hundred fifty-six".