151096379616 has 576 divisors, whose sum is σ = 554614724160. Its totient is φ = 39667138560.

The previous prime is 151096379573. The next prime is 151096379689. The reversal of 151096379616 is 616973690151.

It is a happy number.

151096379616 is a `hidden beast` number, since 1 + 5 + 10 + 9 + 6 + 3 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154652920 + ... + 154653896.

It is an arithmetic number, because the mean of its divisors is an integer number (962872785).

Almost surely, 2^151096379616 is an apocalyptic number.

151096379616 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 151096379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277307362080).

151096379616 is an abundant number, since it is smaller than the sum of its proper divisors (403518344544).

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

151096379616 is a wasteful number, since it uses less digits than its factorization.

151096379616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 151096379616 in words is "one hundred fifty-one billion, ninety-six million, three hundred seventy-nine thousand, six hundred sixteen".