151085616640 has 640 divisors, whose sum is σ = 455370854400. Its totient is φ = 46926397440.

The previous prime is 151085616631. The next prime is 151085616673. The reversal of 151085616640 is 46616580151.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102814652 + ... + 1102814788.

It is an arithmetic number, because the mean of its divisors is an integer number (711516960).

Almost surely, 2^151085616640 is an apocalyptic number.

151085616640 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 151085616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227685427200).

151085616640 is an abundant number, since it is smaller than the sum of its proper divisors (304285237760).

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

151085616640 is a wasteful number, since it uses less digits than its factorization.

151085616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 151085616640 in words is "one hundred fifty-one billion, eighty-five million, six hundred sixteen thousand, six hundred forty".