152727456 has 192 divisors, whose sum is σ = 502951680. Its totient is φ = 39567360.

The previous prime is 152727451. The next prime is 152727467. The reversal of 152727456 is 654727251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152727451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331066 + ... + 331526.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^152727456 is an apocalyptic number.

152727456 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 152727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

152727456 is an abundant number, since it is smaller than the sum of its proper divisors (350224224).

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

152727456 is a wasteful number, since it uses less digits than its factorization.

152727456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 152727456 is about 12358.2950280368. The cubic root of 152727456 is about 534.5303544340.

The spelling of 152727456 in words is "one hundred fifty-two million, seven hundred twenty-seven thousand, four hundred fifty-six".