157995648 has 192 divisors, whose sum is σ = 486907200. Its totient is φ = 49065984.

The previous prime is 157995611. The next prime is 157995667. The reversal of 157995648 is 846599751.

157995648 is a `hidden beast` number, since 1 + 5 + 79 + 9 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 157995594 and 157995603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775188 + ... + 1775276.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 2^157995648 is an apocalyptic number.

157995648 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 157995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453600).

157995648 is an abundant number, since it is smaller than the sum of its proper divisors (328911552).

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

157995648 is a wasteful number, since it uses less digits than its factorization.

157995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 157995648 is about 12569.6319755194. The cubic root of 157995648 is about 540.6070539356.

The spelling of 157995648 in words is "one hundred fifty-seven million, nine hundred ninety-five thousand, six hundred forty-eight".