153168640 has 72 divisors (see below), whose sum is σ = 388523520. Its totient is φ = 57655296.

The previous prime is 153168611. The next prime is 153168649. The reversal of 153168640 is 46861351.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 153168596 and 153168605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153168649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18241 + ... + 25279.

It is an arithmetic number, because the mean of its divisors is an integer number (5396160).

Almost surely, 2^153168640 is an apocalyptic number.

153168640 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 153168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760).

153168640 is an abundant number, since it is smaller than the sum of its proper divisors (235354880).

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

153168640 is an equidigital number, since it uses as much as digits as its factorization.

153168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 153168640 is about 12376.1318674293. The cubic root of 153168640 is about 535.0445591326.

The spelling of 153168640 in words is "one hundred fifty-three million, one hundred sixty-eight thousand, six hundred forty".