152085520 has 80 divisors (see below), whose sum is σ = 362387520. Its totient is φ = 59346432.

The previous prime is 152085509. The next prime is 152085533. The reversal of 152085520 is 25580251.

152085520 is a nontrivial binomial coefficient, being equal to C(17441, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 932959 + ... + 933121.

It is an arithmetic number, because the mean of its divisors is an integer number (4529844).

Almost surely, 2^152085520 is an apocalyptic number.

152085520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152085520 is the 17440-th triangular number.

152085520 is the 5814-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193760).

152085520 is an abundant number, since it is smaller than the sum of its proper divisors (210302000).

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

152085520 is a wasteful number, since it uses less digits than its factorization.

152085520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 152085520 is about 12332.2958122160. The cubic root of 152085520 is about 533.7803994481.

It can be divided in two parts, 1520855 and 20, that added together give a cube (1520875 = 115³).

The spelling of 152085520 in words is "one hundred fifty-two million, eighty-five thousand, five hundred twenty".