151505505550656 has 336 divisors, whose sum is σ = 445120448205888. Its totient is φ = 49251583180800.

The previous prime is 151505505550601. The next prime is 151505505550687. The reversal of 151505505550656 is 656055505505151.

151505505550656 is a `hidden beast` number, since 15 + 15 + 0 + 5 + 5 + 0 + 5 + 550 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3405284571 + ... + 3405329061.

It is an arithmetic number, because the mean of its divisors is an integer number (1324763238708).

Almost surely, 2^{151505505550656} is an apocalyptic number.

151505505550656 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 151505505550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222560224102944).

151505505550656 is an abundant number, since it is smaller than the sum of its proper divisors (293614942655232).

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

151505505550656 is a wasteful number, since it uses less digits than its factorization.

151505505550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45230 (or 45217 counting only the distinct ones).

The product of its (nonzero) digits is 14062500, while the sum is 54.

The spelling of 151505505550656 in words is "one hundred fifty-one trillion, five hundred five billion, five hundred five million, five hundred fifty thousand, six hundred fifty-six".