10138765740 has 96 divisors (see below), whose sum is σ = 29264385024. Its totient is φ = 2621337600.

The previous prime is 10138765657. The next prime is 10138765801. The reversal of 10138765740 is 4756783101.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10138765692 and 10138765701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284940 + ... + 318540.

It is an arithmetic number, because the mean of its divisors is an integer number (304837344).

Almost surely, 2^10138765740 is an apocalyptic number.

10138765740 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 10138765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632192512).

10138765740 is an abundant number, since it is smaller than the sum of its proper divisors (19125619284).

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

10138765740 is a wasteful number, since it uses less digits than its factorization.

10138765740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33767 (or 33765 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10138765740 in words is "ten billion, one hundred thirty-eight million, seven hundred sixty-five thousand, seven hundred forty".