153078768 has 160 divisors (see below), whose sum is σ = 461587520. Its totient is φ = 48522240.

The previous prime is 153078721. The next prime is 153078773. The reversal of 153078768 is 867870351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974946 + ... + 975102.

It is an arithmetic number, because the mean of its divisors is an integer number (2884922).

Almost surely, 2^153078768 is an apocalyptic number.

153078768 is a gapful number since it is divisible by the number (18) 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 153078768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230793760).

153078768 is an abundant number, since it is smaller than the sum of its proper divisors (308508752).

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

153078768 is a wasteful number, since it uses less digits than its factorization.

153078768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 153078768 is about 12372.5004748434. The cubic root of 153078768 is about 534.9398925105.

The spelling of 153078768 in words is "one hundred fifty-three million, seventy-eight thousand, seven hundred sixty-eight".