151261105170 has 192 divisors, whose sum is σ = 441695462400. Its totient is φ = 32992831872.

The previous prime is 151261105141. The next prime is 151261105217. The reversal of 151261105170 is 71501162151.

151261105170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14972781 + ... + 14982879.

It is an arithmetic number, because the mean of its divisors is an integer number (2300497200).

Almost surely, 2^151261105170 is an apocalyptic number.

151261105170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151261105170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220847731200).

151261105170 is an abundant number, since it is smaller than the sum of its proper divisors (290434357230).

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

151261105170 is a wasteful number, since it uses less digits than its factorization.

151261105170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 30.

The spelling of 151261105170 in words is "one hundred fifty-one billion, two hundred sixty-one million, one hundred five thousand, one hundred seventy".