151104340347072 has 224 divisors, whose sum is σ = 465183189926400. Its totient is φ = 42398030610432.

The previous prime is 151104340347061. The next prime is 151104340347113. The reversal of 151104340347072 is 270743043401151.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×151104340347072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11990079 + ... + 21118017.

Almost surely, 2^{151104340347072} is an apocalyptic number.

151104340347072 is a gapful number since it is divisible by the number (12) 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 151104340347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232591594963200).

151104340347072 is an abundant number, since it is smaller than the sum of its proper divisors (314078849579328).

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

151104340347072 is a wasteful number, since it uses less digits than its factorization.

151104340347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128183 (or 9128173 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 151104340347072 in words is "one hundred fifty-one trillion, one hundred four billion, three hundred forty million, three hundred forty-seven thousand, seventy-two".