1352985120 has 576 divisors, whose sum is σ = 5349576960. Its totient is φ = 321159168.

The previous prime is 1352985119. The next prime is 1352985133. The reversal of 1352985120 is 215892531.

1352985120 is a `hidden beast` number, since 1 + 3 + 52 + 98 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15202036 + ... + 15202124.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^1352985120 is an apocalyptic number.

1352985120 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 1352985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1352985120 is an abundant number, since it is smaller than the sum of its proper divisors (3996591840).

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

1352985120 is a wasteful number, since it uses less digits than its factorization.

1352985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1352985120 is about 36782.9460484067. The cubic root of 1352985120 is about 1106.0234629495.

The spelling of 1352985120 in words is "one billion, three hundred fifty-two million, nine hundred eighty-five thousand, one hundred twenty".