152596820 has 12 divisors (see below), whose sum is σ = 320453364. Its totient is φ = 61038720.

The previous prime is 152596813. The next prime is 152596823. The reversal of 152596820 is 28695251.

It can be written as a sum of positive squares in 2 ways, for example, as 30096196 + 122500624 = 5486^2 + 11068^2 .

It is a super-2 number, since 2×152596820² = 46571578948224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152596823) 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 3 ways as a sum of consecutive naturals, for example, 3814901 + ... + 3814940.

It is an arithmetic number, because the mean of its divisors is an integer number (26704447).

Almost surely, 2^152596820 is an apocalyptic number.

152596820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152596820 is an abundant number, since it is smaller than the sum of its proper divisors (167856544).

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

152596820 is a wasteful number, since it uses less digits than its factorization.

152596820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629850 (or 7629848 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 152596820 is about 12353.0085404326. The cubic root of 152596820 is about 534.3779067817.

The spelling of 152596820 in words is "one hundred fifty-two million, five hundred ninety-six thousand, eight hundred twenty".