1152519840 has 336 divisors, whose sum is σ = 4199297256. Its totient is φ = 298598400.

The previous prime is 1152519833. The next prime is 1152519847. The reversal of 1152519840 is 489152511.

1152519840 is a `hidden beast` number, since 1 + 1 + 525 + 1 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1152519833) and next prime (1152519847).

It can be written as a sum of positive squares in 4 ways, for example, as 770395536 + 382124304 = 27756^2 + 19548^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1152519795 and 1152519804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152519847) 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 55 ways as a sum of consecutive naturals, for example, 4782120 + ... + 4782360.

Almost surely, 2^1152519840 is an apocalyptic number.

1152519840 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 1152519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099648628).

1152519840 is an abundant number, since it is smaller than the sum of its proper divisors (3046777416).

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

1152519840 is an equidigital number, since it uses as much as digits as its factorization.

1152519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1152519840 is about 33948.7825996751. The cubic root of 1152519840 is about 1048.4542152455.

The spelling of 1152519840 in words is "one billion, one hundred fifty-two million, five hundred nineteen thousand, eight hundred forty".