152712000 has 448 divisors, whose sum is σ = 646663680. Its totient is φ = 34560000.

The previous prime is 152711989. The next prime is 152712013. The reversal of 152712000 is 217251.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511950 + ... + 1512050.

Almost surely, 2^152712000 is an apocalyptic number.

152712000 is a gapful number since it is divisible by the number (10) 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 152712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323331840).

152712000 is an abundant number, since it is smaller than the sum of its proper divisors (493951680).

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

152712000 is a wasteful number, since it uses less digits than its factorization.

152712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 152712000 is about 12357.6696832372. The cubic root of 152712000 is about 534.5123223567.

Adding to 152712000 its reverse (217251), we get a palindrome (152929251).

It can be divided in two parts, 15271 and 2000, that added together give a palindrome (17271).

The spelling of 152712000 in words is "one hundred fifty-two million, seven hundred twelve thousand".