151606000544 has 96 divisors (see below), whose sum is σ = 320780322576. Its totient is φ = 70274580480.

The previous prime is 151606000519. The next prime is 151606000577. The reversal of 151606000544 is 445000606151.

It can be written as a sum of positive squares in 8 ways, for example, as 111965190544 + 39640810000 = 334612^2 + 199100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 151606000544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37366964 + ... + 37371020.

Almost surely, 2^151606000544 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 151606000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160390161288).

151606000544 is an abundant number, since it is smaller than the sum of its proper divisors (169174322032).

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

151606000544 is a wasteful number, since it uses less digits than its factorization.

151606000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 151606000544 its reverse (445000606151), we get a palindrome (596606606695).

The spelling of 151606000544 in words is "one hundred fifty-one billion, six hundred six million, five hundred forty-four", and thus it is an aban number.