151536528 has 240 divisors, whose sum is σ = 517189120. Its totient is φ = 42197760.

The previous prime is 151536523. The next prime is 151536529. The reversal of 151536528 is 825635151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151536492 and 151536501.

It is not an unprimeable number, because it can be changed into a prime (151536523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679425 + ... + 679647.

Almost surely, 2^151536528 is an apocalyptic number.

151536528 is a gapful number since it is divisible by the number (18) 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 151536528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258594560).

151536528 is an abundant number, since it is smaller than the sum of its proper divisors (365652592).

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

151536528 is a wasteful number, since it uses less digits than its factorization.

151536528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 151536528 is about 12310.0173842282. The cubic root of 151536528 is about 533.1373522983.

It can be divided in two parts, 151536 and 528, that multiplied together give a palindrome (80011008).

The spelling of 151536528 in words is "one hundred fifty-one million, five hundred thirty-six thousand, five hundred twenty-eight".