152209152 has 216 divisors, whose sum is σ = 482833680. Its totient is φ = 47278080.

The previous prime is 152209151. The next prime is 152209181. The reversal of 152209152 is 251902251.

152209152 is a `hidden beast` number, since 1 + 522 + 0 + 91 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152209151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495202 + ... + 2495262.

Almost surely, 2^152209152 is an apocalyptic number.

152209152 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 152209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241416840).

152209152 is an abundant number, since it is smaller than the sum of its proper divisors (330624528).

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

152209152 is an equidigital number, since it uses as much as digits as its factorization.

152209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152209152 is about 12337.3073237234. The cubic root of 152209152 is about 533.9249989350.

The spelling of 152209152 in words is "one hundred fifty-two million, two hundred nine thousand, one hundred fifty-two".