151109148350160 has 1920 divisors, whose sum is σ = 714548145991680. Its totient is φ = 28657981440000.

The previous prime is 151109148350117. The next prime is 151109148350161. The reversal of 151109148350160 is 61053841901151.

151109148350160 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 0 + 9 + 1 + 4 + 83 + 501 + 60 = 666.

It is a super-2 number, since 2×151109148350160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151109148350161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1731846535 + ... + 1731933785.

It is an arithmetic number, because the mean of its divisors is an integer number (372160492704).

Almost surely, 2^{151109148350160} is an apocalyptic number.

151109148350160 is a gapful number since it is divisible by the number (10) 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 151109148350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357274072995840).

151109148350160 is an abundant number, since it is smaller than the sum of its proper divisors (563438997641520).

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

151109148350160 is a wasteful number, since it uses less digits than its factorization.

151109148350160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87399 (or 87381 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 151109148350160 in words is "one hundred fifty-one trillion, one hundred nine billion, one hundred forty-eight million, three hundred fifty thousand, one hundred sixty".