151105388544 has 450 divisors, whose sum is σ = 496734809802. Its totient is φ = 45740851200.

The previous prime is 151105388519. The next prime is 151105388593. The reversal of 151105388544 is 445883501151.

151105388544 is a `hidden beast` number, since 1 + 51 + 1 + 0 + 53 + 8 + 8 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135047430144 + 16057958400 = 367488^2 + 126720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151105388544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 160579114 + ... + 160580054.

Almost surely, 2^151105388544 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 151105388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248367404901).

151105388544 is an abundant number, since it is smaller than the sum of its proper divisors (345629421258).

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

151105388544 is an frugal number, since it uses more digits than its factorization.

151105388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

Adding to 151105388544 its reverse (445883501151), we get a palindrome (596988889695).

The spelling of 151105388544 in words is "one hundred fifty-one billion, one hundred five million, three hundred eighty-eight thousand, five hundred forty-four".