153268320 has 96 divisors (see below), whose sum is σ = 503822592. Its totient is φ = 39091712.

The previous prime is 153268303. The next prime is 153268337. The reversal of 153268320 is 23862351.

It is an interprime number because it is at equal distance from previous prime (153268303) and next prime (153268337).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4099 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (5248152).

Almost surely, 2^153268320 is an apocalyptic number.

153268320 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 153268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251911296).

153268320 is an abundant number, since it is smaller than the sum of its proper divisors (350554272).

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

153268320 is a wasteful number, since it uses less digits than its factorization.

153268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 153268320 is about 12380.1583188584. The cubic root of 153268320 is about 535.1606004587.

The spelling of 153268320 in words is "one hundred fifty-three million, two hundred sixty-eight thousand, three hundred twenty".