152864712 has 384 divisors, whose sum is σ = 586051200. Its totient is φ = 36288000.

The previous prime is 152864659. The next prime is 152864717. The reversal of 152864712 is 217468251.

152864712 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 647 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152864717) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513462 + ... + 1513562.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^152864712 is an apocalyptic number.

152864712 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 152864712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

152864712 is an abundant number, since it is smaller than the sum of its proper divisors (433186488).

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

152864712 is a wasteful number, since it uses less digits than its factorization.

152864712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

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

The square root of 152864712 is about 12363.8469741420. The cubic root of 152864712 is about 534.6904337736.

The spelling of 152864712 in words is "one hundred fifty-two million, eight hundred sixty-four thousand, seven hundred twelve".