152001540 has 36 divisors (see below), whose sum is σ = 461071884. Its totient is φ = 40533696.

The previous prime is 152001497. The next prime is 152001541. The reversal of 152001540 is 45100251.

It can be written as a sum of positive squares in 2 ways, for example, as 23677956 + 128323584 = 4866^2 + 11328^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (152001541) 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 11 ways as a sum of consecutive naturals, for example, 422047 + ... + 422406.

Almost surely, 2^152001540 is an apocalyptic number.

152001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152001540 is an abundant number, since it is smaller than the sum of its proper divisors (309070344).

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

152001540 is a wasteful number, since it uses less digits than its factorization.

152001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844468 (or 844463 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152001540 is about 12328.8904610269. The cubic root of 152001540 is about 533.6821320798.

Adding to 152001540 its reverse (45100251), we get a palindrome (197101791).

The spelling of 152001540 in words is "one hundred fifty-two million, one thousand, five hundred forty".