152135712 has 96 divisors (see below), whose sum is σ = 455817600. Its totient is φ = 49330944.

The previous prime is 152135651. The next prime is 152135741. The reversal of 152135712 is 217531251.

152135712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29589 + ... + 34347.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2^152135712 is an apocalyptic number.

152135712 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 152135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

152135712 is an abundant number, since it is smaller than the sum of its proper divisors (303681888).

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

152135712 is a wasteful number, since it uses less digits than its factorization.

152135712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4801 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 152135712 is about 12334.3306263453. The cubic root of 152135712 is about 533.8391132539.

Adding to 152135712 its reverse (217531251), we get a palindrome (369666963).

The spelling of 152135712 in words is "one hundred fifty-two million, one hundred thirty-five thousand, seven hundred twelve".