151059538656 has 432 divisors, whose sum is σ = 489486291840. Its totient is φ = 45796907520.

The previous prime is 151059538649. The next prime is 151059538673. The reversal of 151059538656 is 656835950151.

151059538656 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 59 + 538 + 6 + 56 = 666.

151059538656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93303415 + ... + 93305033.

It is an arithmetic number, because the mean of its divisors is an integer number (1133070120).

Almost surely, 2^151059538656 is an apocalyptic number.

151059538656 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 151059538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244743145920).

151059538656 is an abundant number, since it is smaller than the sum of its proper divisors (338426753184).

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

151059538656 is a wasteful number, since it uses less digits than its factorization.

151059538656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 151059538656 in words is "one hundred fifty-one billion, fifty-nine million, five hundred thirty-eight thousand, six hundred fifty-six".