153960048 has 160 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 46137600.

The previous prime is 153960047. The next prime is 153960067. The reversal of 153960048 is 840069351.

153960048 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 600 + 48 = 666.

153960048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153959994 and 153960021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153960047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850518 + ... + 850698.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^153960048 is an apocalyptic number.

153960048 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 153960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

153960048 is an abundant number, since it is smaller than the sum of its proper divisors (333508752).

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

153960048 is a wasteful number, since it uses less digits than its factorization.

153960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153960048 is about 12408.0638296231. The cubic root of 153960048 is about 535.9644849120.

The spelling of 153960048 in words is "one hundred fifty-three million, nine hundred sixty thousand, forty-eight".