138425760 has 240 divisors, whose sum is σ = 533488032. Its totient is φ = 33523200.

The previous prime is 138425737. The next prime is 138425761. The reversal of 138425760 is 67524831.

138425760 is a `hidden beast` number, since 1 + 3 + 84 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (138425761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142075 + ... + 143045.

Almost surely, 2^138425760 is an apocalyptic number.

138425760 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 138425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266744016).

138425760 is an abundant number, since it is smaller than the sum of its proper divisors (395062272).

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

138425760 is a wasteful number, since it uses less digits than its factorization.

138425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138425760 is about 11765.4477177879. The cubic root of 138425760 is about 517.2958236759.

It can be divided in two parts, 1 and 38425760, that added together give a triangular number (38425761 = T₈₇₆₆).

The spelling of 138425760 in words is "one hundred thirty-eight million, four hundred twenty-five thousand, seven hundred sixty".