138734240 has 48 divisors (see below), whose sum is σ = 330311520. Its totient is φ = 55061760.

The previous prime is 138734203. The next prime is 138734249. The reversal of 138734240 is 42437831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 138734197 and 138734206.

It is not an unprimeable number, because it can be changed into a prime (138734249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17651 + ... + 24269.

It is an arithmetic number, because the mean of its divisors is an integer number (6881490).

Almost surely, 2^138734240 is an apocalyptic number.

138734240 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 138734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165155760).

138734240 is an abundant number, since it is smaller than the sum of its proper divisors (191577280).

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

138734240 is a wasteful number, since it uses less digits than its factorization.

138734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 138734240 is about 11778.5499956489. The cubic root of 138734240 is about 517.6798009188.

The spelling of 138734240 in words is "one hundred thirty-eight million, seven hundred thirty-four thousand, two hundred forty".