1385115732 has 648 divisors, whose sum is σ = 5350494240. Its totient is φ = 296110080.

The previous prime is 1385115691. The next prime is 1385115733. The reversal of 1385115732 is 2375115831.

It is a happy number.

1385115732 is a `hidden beast` number, since 1 + 3 + 85 + 1 + 1 + 573 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (25200) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385115733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72900819 + ... + 72900837.

Almost surely, 2^1385115732 is an apocalyptic number.

1385115732 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 1385115732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675247120).

1385115732 is an abundant number, since it is smaller than the sum of its proper divisors (3965378508).

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

1385115732 is a wasteful number, since it uses less digits than its factorization.

1385115732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1385115732 is about 37217.1429854577. The cubic root of 1385115732 is about 1114.7103169376.

Subtracting 1385115732 from its reverse (2375115831), we obtain a palindrome (990000099).

The spelling of 1385115732 in words is "one billion, three hundred eighty-five million, one hundred fifteen thousand, seven hundred thirty-two".