152400768 has 64 divisors (see below), whose sum is σ = 435968400. Its totient is φ = 46891008.

The previous prime is 152400761. The next prime is 152400769. The reversal of 152400768 is 867004251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152400761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10273 + ... + 20256.

Almost surely, 2^152400768 is an apocalyptic number.

It is an amenable number.

152400768 is an abundant number, since it is smaller than the sum of its proper divisors (283567632).

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

152400768 is a wasteful number, since it uses less digits than its factorization.

152400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30559 (or 30547 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 152400768 is about 12345.0705951809. The cubic root of 152400768 is about 534.1489575892.

The spelling of 152400768 in words is "one hundred fifty-two million, four hundred thousand, seven hundred sixty-eight".