152648712 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 46033920.

The previous prime is 152648711. The next prime is 152648737. The reversal of 152648712 is 217846251.

152648712 is a `hidden beast` number, since 1 + 5 + 2 + 648 + 7 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152648711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024414 + ... + 1024562.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^152648712 is an apocalyptic number.

152648712 is a gapful number since it is divisible by the number (12) 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 152648712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

152648712 is an abundant number, since it is smaller than the sum of its proper divisors (319095288).

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

152648712 is a wasteful number, since it uses less digits than its factorization.

152648712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 152648712 is about 12355.1087409217. The cubic root of 152648712 is about 534.4384733467.

The spelling of 152648712 in words is "one hundred fifty-two million, six hundred forty-eight thousand, seven hundred twelve".