1198513152 has 176 divisors, whose sum is σ = 3607960320. Its totient is φ = 392933376.

The previous prime is 1198513117. The next prime is 1198513153. The reversal of 1198513152 is 2513158911.

1198513152 is a `hidden beast` number, since 1 + 1 + 98 + 513 + 1 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198513153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852093 + ... + 1852739.

Almost surely, 2^1198513152 is an apocalyptic number.

1198513152 is a gapful number since it is divisible by the number (12) 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 1198513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803980160).

1198513152 is an abundant number, since it is smaller than the sum of its proper divisors (2409447168).

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

1198513152 is an equidigital number, since it uses as much as digits as its factorization.

1198513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The square root of 1198513152 is about 34619.5486972317. The cubic root of 1198513152 is about 1062.2194956316.

The spelling of 1198513152 in words is "one billion, one hundred ninety-eight million, five hundred thirteen thousand, one hundred fifty-two".