153138528 has 36 divisors (see below), whose sum is σ = 435488508. Its totient is φ = 51046080.

The previous prime is 153138527. The next prime is 153138581. The reversal of 153138528 is 825831351.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 153138492 and 153138501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153138521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265578 + ... + 266153.

It is an arithmetic number, because the mean of its divisors is an integer number (12096903).

Almost surely, 2^153138528 is an apocalyptic number.

153138528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153138528 is an abundant number, since it is smaller than the sum of its proper divisors (282349980).

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

153138528 is a wasteful number, since it uses less digits than its factorization.

153138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531747 (or 531736 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 153138528 is about 12374.9152724372. The cubic root of 153138528 is about 535.0094946928.

Adding to 153138528 its reverse (825831351), we get a palindrome (978969879).

The spelling of 153138528 in words is "one hundred fifty-three million, one hundred thirty-eight thousand, five hundred twenty-eight".