151168967942130 has 384 divisors, whose sum is σ = 426986835664896. Its totient is φ = 36966034022400.

The previous prime is 151168967942107. The next prime is 151168967942183. The reversal of 151168967942130 is 31249769861151.

151168967942130 is a `hidden beast` number, since 1 + 5 + 116 + 8 + 9 + 67 + 9 + 421 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7739940465 + ... + 7739959995.

It is an arithmetic number, because the mean of its divisors is an integer number (1111944884544).

It is a 1-persistent number, because it is pandigital, but 2⋅151168967942130 = 302337935884260 is not.

Almost surely, 2^{151168967942130} is an apocalyptic number.

151168967942130 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 151168967942130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213493417832448).

151168967942130 is an abundant number, since it is smaller than the sum of its proper divisors (275817867722766).

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

151168967942130 is a wasteful number, since it uses less digits than its factorization.

151168967942130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20402 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 151168967942130 in words is "one hundred fifty-one trillion, one hundred sixty-eight billion, nine hundred sixty-seven million, nine hundred forty-two thousand, one hundred thirty".