152000820 has 192 divisors, whose sum is σ = 496419840. Its totient is φ = 38578176.

The previous prime is 152000801. The next prime is 152000887. The reversal of 152000820 is 28000251.

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

It is a junction number, because it is equal to n+sod(n) for n = 152000793 and 152000802.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1345084 + ... + 1345196.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^152000820 is an apocalyptic number.

152000820 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 152000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

152000820 is an abundant number, since it is smaller than the sum of its proper divisors (344419020).

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

152000820 is a wasteful number, since it uses less digits than its factorization.

152000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152000820 is about 12328.8612612844. The cubic root of 152000820 is about 533.6812894310.

The spelling of 152000820 in words is "one hundred fifty-two million, eight hundred twenty", and thus it is an aban number.