152001040 has 40 divisors (see below), whose sum is σ = 354988440. Its totient is φ = 60527616.

The previous prime is 152001023. The next prime is 152001041. The reversal of 152001040 is 40100251.

It can be written as a sum of positive squares in 4 ways, for example, as 97772544 + 54228496 = 9888^2 + 7364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×152001040² = 46208632322163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152001040.

It is not an unprimeable number, because it can be changed into a prime (152001041) 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, 14172 + ... + 22468.

It is an arithmetic number, because the mean of its divisors is an integer number (8874711).

Almost surely, 2^152001040 is an apocalyptic number.

152001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152001040 is an abundant number, since it is smaller than the sum of its proper divisors (202987400).

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

152001040 is a wasteful number, since it uses less digits than its factorization.

152001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 152001040 is about 12328.8701834353. The cubic root of 152001040 is about 533.6815469073.

Adding to 152001040 its reverse (40100251), we get a palindrome (192101291).

The spelling of 152001040 in words is "one hundred fifty-two million, one thousand, forty".