153013280 has 144 divisors (see below), whose sum is σ = 435660120. Its totient is φ = 50577408.

The previous prime is 153013261. The next prime is 153013321. The reversal of 153013280 is 82310351.

It can be written as a sum of positive squares in 4 ways, for example, as 112614544 + 40398736 = 10612^2 + 6356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227024 + ... + 227696.

Almost surely, 2^153013280 is an apocalyptic number.

153013280 is a gapful number since it is divisible by the number (10) 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 153013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217830060).

153013280 is an abundant number, since it is smaller than the sum of its proper divisors (282646840).

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

153013280 is a wasteful number, since it uses less digits than its factorization.

153013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 153013280 is about 12369.8536773884. The cubic root of 153013280 is about 534.8635981492.

It can be divided in two parts, 15301 and 3280, that added together give a palindrome (18581).

The spelling of 153013280 in words is "one hundred fifty-three million, thirteen thousand, two hundred eighty".