151641705744 has 225 divisors, whose sum is σ = 455773180863. Its totient is φ = 48673384704.

The previous prime is 151641705739. The next prime is 151641705751. The reversal of 151641705744 is 447507146151.

The square root of 151641705744 is 389412.

It is a perfect power (a square), and thus also a powerful number.

151641705744 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 4 + 1 + 70 + 574 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 700131600 + 150941574144 = 26460^2 + 388512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151641705744.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 406545942 + ... + 406546314.

Almost surely, 2^151641705744 is an apocalyptic number.

151641705744 is the 389412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151641705744

151641705744 is an abundant number, since it is smaller than the sum of its proper divisors (304131475119).

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

151641705744 is an frugal number, since it uses more digits than its factorization.

151641705744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 151641705744 in words is "one hundred fifty-one billion, six hundred forty-one million, seven hundred five thousand, seven hundred forty-four".