152520768 has 42 divisors (see below), whose sum is σ = 437174894. Its totient is φ = 50840064.

The previous prime is 152520737. The next prime is 152520793. The reversal of 152520768 is 867025251.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 148060224 + 4460544 = 12168^2 + 2112^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131821 + ... + 132972.

Almost surely, 2^152520768 is an apocalyptic number.

152520768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152520768 is an abundant number, since it is smaller than the sum of its proper divisors (284654126).

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

152520768 is a wasteful number, since it uses less digits than its factorization.

152520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264811 (or 264798 counting only the distinct ones).

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

The square root of 152520768 is about 12349.9298783434. The cubic root of 152520768 is about 534.2891166790.

The spelling of 152520768 in words is "one hundred fifty-two million, five hundred twenty thousand, seven hundred sixty-eight".