151830166681536 has 112 divisors (see below), whose sum is σ = 459114206910720. Its totient is φ = 43379225303040.

The previous prime is 151830166681441. The next prime is 151830166681541. The reversal of 151830166681536 is 635186661038151.

151830166681536 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 (112).

It is a self number, because there is not a number n which added to its sum of digits gives 151830166681536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71694955 + ... + 73782293.

Almost surely, 2^{151830166681536} is an apocalyptic number.

151830166681536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151830166681536 is an abundant number, since it is smaller than the sum of its proper divisors (307284040229184).

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

151830166681536 is a wasteful number, since it uses less digits than its factorization.

151830166681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141482 (or 2141472 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 151830166681536 in words is "one hundred fifty-one trillion, eight hundred thirty billion, one hundred sixty-six million, six hundred eighty-one thousand, five hundred thirty-six".