153032640 has 112 divisors (see below), whose sum is σ = 514514592. Its totient is φ = 38404096.

The previous prime is 153032609. The next prime is 153032641. The reversal of 153032640 is 46230351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153032640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153032641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11632 + ... + 21008.

Almost surely, 2^153032640 is an apocalyptic number.

153032640 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 153032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257257296).

153032640 is an abundant number, since it is smaller than the sum of its proper divisors (361481952).

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

153032640 is a wasteful number, since it uses less digits than its factorization.

153032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153032640 is about 12370.6362002930. The cubic root of 153032640 is about 534.8861550640.

Adding to 153032640 its reverse (46230351), we get a palindrome (199262991).

The spelling of 153032640 in words is "one hundred fifty-three million, thirty-two thousand, six hundred forty".