1371148128 has 192 divisors, whose sum is σ = 4769694720. Its totient is φ = 374685696.

The previous prime is 1371148127. The next prime is 1371148139. The reversal of 1371148128 is 8218411731.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1371148092 and 1371148101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371148127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134176 + ... + 144032.

It is an arithmetic number, because the mean of its divisors is an integer number (24842160).

Almost surely, 2^1371148128 is an apocalyptic number.

1371148128 is a gapful number since it is divisible by the number (18) 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 1371148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384847360).

1371148128 is an abundant number, since it is smaller than the sum of its proper divisors (3398546592).

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

1371148128 is a wasteful number, since it uses less digits than its factorization.

1371148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9892 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 1371148128 is about 37029.0173782670. The cubic root of 1371148128 is about 1110.9507121468.

Adding to 1371148128 its reverse (8218411731), we get a palindrome (9589559859).

The spelling of 1371148128 in words is "one billion, three hundred seventy-one million, one hundred forty-eight thousand, one hundred twenty-eight".