1148135952600 has 1152 divisors, whose sum is σ = 4974806592000. Its totient is φ = 236941562880.

The previous prime is 1148135952563. The next prime is 1148135952617. The reversal of 1148135952600 is 62595318411.

It is a happy number.

1148135952600 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 35 + 9 + 5 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5769527301 + ... + 5769527499.

It is an arithmetic number, because the mean of its divisors is an integer number (4318408500).

Almost surely, 2^{1148135952600} is an apocalyptic number.

1148135952600 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 1148135952600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487403296000).

1148135952600 is an abundant number, since it is smaller than the sum of its proper divisors (3826670639400).

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

1148135952600 is a wasteful number, since it uses less digits than its factorization.

1148135952600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1148135952600 in words is "one trillion, one hundred forty-eight billion, one hundred thirty-five million, nine hundred fifty-two thousand, six hundred".