152533640 has 64 divisors (see below), whose sum is σ = 404904960. Its totient is φ = 50607360.

The previous prime is 152533621. The next prime is 152533643. The reversal of 152533640 is 46335251.

It is a super-2 number, since 2×152533640² = 46533022663299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152533643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (6326640).

Almost surely, 2^152533640 is an apocalyptic number.

152533640 is a gapful number since it is divisible by the number (10) 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 152533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202452480).

152533640 is an abundant number, since it is smaller than the sum of its proper divisors (252371320).

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

152533640 is a wasteful number, since it uses less digits than its factorization.

152533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17622 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 152533640 is about 12350.4510039107. The cubic root of 152533640 is about 534.3041467109.

Adding to 152533640 its reverse (46335251), we get a palindrome (198868891).

The spelling of 152533640 in words is "one hundred fifty-two million, five hundred thirty-three thousand, six hundred forty".