151104096 has 192 divisors, whose sum is σ = 518192640. Its totient is φ = 42232320.

The previous prime is 151104077. The next prime is 151104119. The reversal of 151104096 is 690401151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 122941 + ... + 124163.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^151104096 is an apocalyptic number.

151104096 is a gapful number since it is divisible by the number (16) 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 151104096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

151104096 is an abundant number, since it is smaller than the sum of its proper divisors (367088544).

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

151104096 is a wasteful number, since it uses less digits than its factorization.

151104096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151104096 is about 12292.4406038833. The cubic root of 151104096 is about 532.6297402577.

The spelling of 151104096 in words is "one hundred fifty-one million, one hundred four thousand, ninety-six".