152028576 has 336 divisors, whose sum is σ = 550872000. Its totient is φ = 41150592.

The previous prime is 152028571. The next prime is 152028589. The reversal of 152028576 is 675820251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×152028576² = 46225375841175552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152028576.

It is not an unprimeable number, because it can be changed into a prime (152028571) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8001495 + ... + 8001513.

It is an arithmetic number, because the mean of its divisors is an integer number (1639500).

Almost surely, 2^152028576 is an apocalyptic number.

152028576 is a gapful number since it is divisible by the number (16) 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 152028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275436000).

152028576 is an abundant number, since it is smaller than the sum of its proper divisors (398843424).

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

152028576 is an frugal number, since it uses more digits than its factorization.

152028576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 152028576 is about 12329.9868613069. The cubic root of 152028576 is about 533.7137716161.

The spelling of 152028576 in words is "one hundred fifty-two million, twenty-eight thousand, five hundred seventy-six".