138546765 has 72 divisors (see below), whose sum is σ = 294147360. Its totient is φ = 59984064.

The previous prime is 138546763. The next prime is 138546767. The reversal of 138546765 is 567645831.

138546765 is a `hidden beast` number, since 1 + 38 + 546 + 76 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (138546763) and next prime (138546767).

It is not a de Polignac number, because 138546765 - 2¹ = 138546763 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138546765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138546763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40242 + ... + 43548.

It is an arithmetic number, because the mean of its divisors is an integer number (4085380).

Almost surely, 2^138546765 is an apocalyptic number.

138546765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138546765 is an abundant number, since it is smaller than the sum of its proper divisors (155600595).

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

138546765 is a wasteful number, since it uses less digits than its factorization.

138546765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3341 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 138546765 is about 11770.5889827145. The cubic root of 138546765 is about 517.4465113098.

The spelling of 138546765 in words is "one hundred thirty-eight million, five hundred forty-six thousand, seven hundred sixty-five".