153142640 has 80 divisors (see below), whose sum is σ = 415300800. Its totient is φ = 52496640.

The previous prime is 153142631. The next prime is 153142643. The reversal of 153142640 is 46241351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153142643) 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, 24650 + ... + 30230.

It is an arithmetic number, because the mean of its divisors is an integer number (5191260).

Almost surely, 2^153142640 is an apocalyptic number.

153142640 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 153142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207650400).

153142640 is an abundant number, since it is smaller than the sum of its proper divisors (262158160).

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

153142640 is an equidigital number, since it uses as much as digits as its factorization.

153142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 153142640 is about 12375.0814138736. The cubic root of 153142640 is about 535.0142832533.

Adding to 153142640 its reverse (46241351), we get a palindrome (199383991).

The spelling of 153142640 in words is "one hundred fifty-three million, one hundred forty-two thousand, six hundred forty".