1036152000 has 672 divisors, whose sum is σ = 4240401984. Its totient is φ = 248832000.

The previous prime is 1036151993. The next prime is 1036152053. The reversal of 1036152000 is 2516301.

It is a super-3 number, since 3×1036152000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25271980 + ... + 25272020.

It is an arithmetic number, because the mean of its divisors is an integer number (6310122).

Almost surely, 2^1036152000 is an apocalyptic number.

1036152000 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 1036152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120200992).

1036152000 is an abundant number, since it is smaller than the sum of its proper divisors (3204249984).

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

1036152000 is an equidigital number, since it uses as much as digits as its factorization.

1036152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1036152000 is about 32189.3149973714. The cubic root of 1036152000 is about 1011.9082962517.

Adding to 1036152000 its reverse (2516301), we get a palindrome (1038668301).

The spelling of 1036152000 in words is "one billion, thirty-six million, one hundred fifty-two thousand".