153072648 has 48 divisors (see below), whose sum is σ = 417147120. Its totient is φ = 50707296.

The previous prime is 153072611. The next prime is 153072679. The reversal of 153072648 is 846270351.

153072648 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 7 + 2 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5215 + ... + 18257.

It is an arithmetic number, because the mean of its divisors is an integer number (8690565).

Almost surely, 2^153072648 is an apocalyptic number.

153072648 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 153072648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208573560).

153072648 is an abundant number, since it is smaller than the sum of its proper divisors (264074472).

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

153072648 is a wasteful number, since it uses less digits than its factorization.

153072648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 153072648 is about 12372.2531496894. The cubic root of 153072648 is about 534.9327635538.

It can be divided in two parts, 15307 and 2648, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 153072648 in words is "one hundred fifty-three million, seventy-two thousand, six hundred forty-eight".