151656782112 has 144 divisors (see below), whose sum is σ = 487906185312. Its totient is φ = 45956574720.

The previous prime is 151656782099. The next prime is 151656782143. The reversal of 151656782112 is 211287656151.

151656782112 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 567 + 82 + 1 + 1 + 2 = 666.

151656782112 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 (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800973 + ... + 972044.

It is an arithmetic number, because the mean of its divisors is an integer number (3388237398).

Almost surely, 2^151656782112 is an apocalyptic number.

151656782112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151656782112 is an abundant number, since it is smaller than the sum of its proper divisors (336249403200).

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

151656782112 is a wasteful number, since it uses less digits than its factorization.

151656782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773053 (or 1773033 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 151656782112 in words is "one hundred fifty-one billion, six hundred fifty-six million, seven hundred eighty-two thousand, one hundred twelve".