152736768 has 66 divisors (see below), whose sum is σ = 441050714. Its totient is φ = 50909184.

The previous prime is 152736761. The next prime is 152736791. The reversal of 152736768 is 867637251.

152736768 is a `hidden beast` number, since 1 + 527 + 3 + 67 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139428864 + 13307904 = 11808^2 + 3648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152736761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 930 + ... + 17502.

Almost surely, 2^152736768 is an apocalyptic number.

152736768 is a gapful number since it is divisible by the number (18) 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 152736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220525357).

152736768 is an abundant number, since it is smaller than the sum of its proper divisors (288313946).

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

152736768 is a wasteful number, since it uses less digits than its factorization.

152736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16578 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 152736768 is about 12358.6717732934. The cubic root of 152736768 is about 534.5412178933.

The spelling of 152736768 in words is "one hundred fifty-two million, seven hundred thirty-six thousand, seven hundred sixty-eight".