138150540 has 108 divisors (see below), whose sum is σ = 460688592. Its totient is φ = 33485760.

The previous prime is 138150521. The next prime is 138150541. The reversal of 138150540 is 45051831.

It is not an unprimeable number, because it can be changed into a prime (138150541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18609 + ... + 24951.

Almost surely, 2^138150540 is an apocalyptic number.

138150540 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 138150540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230344296).

138150540 is an abundant number, since it is smaller than the sum of its proper divisors (322538052).

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

138150540 is a wasteful number, since it uses less digits than its factorization.

138150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 138150540 is about 11753.7457859186. The cubic root of 138150540 is about 516.9527646599.

The spelling of 138150540 in words is "one hundred thirty-eight million, one hundred fifty thousand, five hundred forty".