151910417736 has 768 divisors, whose sum is σ = 578337177600. Its totient is φ = 36153734400.

The previous prime is 151910417731. The next prime is 151910417777. The reversal of 151910417736 is 637714019151.

151910417736 is a `hidden beast` number, since 15 + 191 + 0 + 417 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151910417691 and 151910417700.

It is not an unprimeable number, because it can be changed into a prime (151910417731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88165371 + ... + 88167093.

It is an arithmetic number, because the mean of its divisors is an integer number (753043200).

Almost surely, 2^151910417736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151910417736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289168588800).

151910417736 is an abundant number, since it is smaller than the sum of its proper divisors (426426759864).

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

151910417736 is a wasteful number, since it uses less digits than its factorization.

151910417736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 151910417736 in words is "one hundred fifty-one billion, nine hundred ten million, four hundred seventeen thousand, seven hundred thirty-six".