151345414528 has 128 divisors (see below), whose sum is σ = 381518841600. Its totient is φ = 58085406720.

The previous prime is 151345414487. The next prime is 151345414553. The reversal of 151345414528 is 825414543151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 545758 + ... + 774946.

It is an arithmetic number, because the mean of its divisors is an integer number (2980615950).

Almost surely, 2^151345414528 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 151345414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190759420800).

151345414528 is an abundant number, since it is smaller than the sum of its proper divisors (230173427072).

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

151345414528 is a wasteful number, since it uses less digits than its factorization.

151345414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229288 (or 229276 counting only the distinct ones).

The product of its digits is 384000, while the sum is 43.

Adding to 151345414528 its reverse (825414543151), we get a palindrome (976759957679).

The spelling of 151345414528 in words is "one hundred fifty-one billion, three hundred forty-five million, four hundred fourteen thousand, five hundred twenty-eight".