153205332 has 48 divisors (see below), whose sum is σ = 413736960. Its totient is φ = 43216992.

The previous prime is 153205331. The next prime is 153205333. The reversal of 153205332 is 233502351.

It is a happy number.

153205332 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153205331) and next prime (153205333).

153205332 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153205331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (8619520).

Almost surely, 2^153205332 is an apocalyptic number.

153205332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153205332 is an abundant number, since it is smaller than the sum of its proper divisors (260531628).

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

153205332 is a wasteful number, since it uses less digits than its factorization.

153205332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23180 (or 23178 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 153205332 is about 12377.6141481305. The cubic root of 153205332 is about 535.0872795562.

Adding to 153205332 its reverse (233502351), we get a palindrome (386707683).

The spelling of 153205332 in words is "one hundred fifty-three million, two hundred five thousand, three hundred thirty-two".