152009172 has 216 divisors, whose sum is σ = 489611304. Its totient is φ = 39481344.

The previous prime is 152009153. The next prime is 152009173. The reversal of 152009172 is 271900251.

It can be written as a sum of positive squares in 4 ways, for example, as 80030916 + 71978256 = 8946^2 + 8484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152009173) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1109488 + ... + 1109624.

It is an arithmetic number, because the mean of its divisors is an integer number (2266719).

Almost surely, 2^152009172 is an apocalyptic number.

152009172 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 152009172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244805652).

152009172 is an abundant number, since it is smaller than the sum of its proper divisors (337602132).

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

152009172 is a wasteful number, since it uses less digits than its factorization.

152009172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 152009172 is about 12329.1999740454. The cubic root of 152009172 is about 533.6910639934.

The spelling of 152009172 in words is "one hundred fifty-two million, nine thousand, one hundred seventy-two".