152048736 has 144 divisors (see below), whose sum is σ = 497952000. Its totient is φ = 43110144.

The previous prime is 152048717. The next prime is 152048747. The reversal of 152048736 is 637840251.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 152048736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400995 + ... + 401373.

It is an arithmetic number, because the mean of its divisors is an integer number (3458000).

Almost surely, 2^152048736 is an apocalyptic number.

152048736 is a gapful number since it is divisible by the number (16) 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 152048736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976000).

152048736 is an abundant number, since it is smaller than the sum of its proper divisors (345903264).

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

152048736 is a wasteful number, since it uses less digits than its factorization.

152048736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

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

The square root of 152048736 is about 12330.8043533259. The cubic root of 152048736 is about 533.7373619050.

Adding to 152048736 its reverse (637840251), we get a palindrome (789888987).

The spelling of 152048736 in words is "one hundred fifty-two million, forty-eight thousand, seven hundred thirty-six".