153213520 has 40 divisors (see below), whose sum is σ = 377178984. Its totient is φ = 57679872.

The previous prime is 153213497. The next prime is 153213521. The reversal of 153213520 is 25312351.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 143328784 = 3144^2 + 11972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 153213491 and 153213500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153213521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54969 + ... + 57688.

Almost surely, 2^153213520 is an apocalyptic number.

153213520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153213520 is an abundant number, since it is smaller than the sum of its proper divisors (223965464).

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

153213520 is a wasteful number, since it uses less digits than its factorization.

153213520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112687 (or 112681 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 153213520 is about 12377.9449021233. The cubic root of 153213520 is about 535.0968118976.

Adding to 153213520 its reverse (25312351), we get a palindrome (178525871).

The spelling of 153213520 in words is "one hundred fifty-three million, two hundred thirteen thousand, five hundred twenty".