152112132 has 72 divisors (see below), whose sum is σ = 396402552. Its totient is φ = 49152000.

The previous prime is 152112131. The next prime is 152112139. The reversal of 152112132 is 231211251.

152112132 is a `hidden beast` number, since 1 + 521 + 12 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75794436 + 76317696 = 8706^2 + 8736^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152112131) by changing a digit.

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, 379132 + ... + 379532.

It is an arithmetic number, because the mean of its divisors is an integer number (5505591).

Almost surely, 2^152112132 is an apocalyptic number.

152112132 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 152112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198201276).

152112132 is an abundant number, since it is smaller than the sum of its proper divisors (244290420).

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

152112132 is a wasteful number, since it uses less digits than its factorization.

152112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 152112132 is about 12333.3747206513. The cubic root of 152112132 is about 533.8115313524.

Adding to 152112132 its reverse (231211251), we get a palindrome (383323383).

The spelling of 152112132 in words is "one hundred fifty-two million, one hundred twelve thousand, one hundred thirty-two".