138102240 has 96 divisors (see below), whose sum is σ = 445205376. Its totient is φ = 35965440.

The previous prime is 138102233. The next prime is 138102247. The reversal of 138102240 is 42201831.

It is an interprime number because it is at equal distance from previous prime (138102233) and next prime (138102247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138102247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17295 + ... + 23985.

It is an arithmetic number, because the mean of its divisors is an integer number (4637556).

Almost surely, 2^138102240 is an apocalyptic number.

138102240 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 138102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222602688).

138102240 is an abundant number, since it is smaller than the sum of its proper divisors (307103136).

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

138102240 is a wasteful number, since it uses less digits than its factorization.

138102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 138102240 is about 11751.6909421581. The cubic root of 138102240 is about 516.8925122016.

It can be divided in two parts, 138 and 102240, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 138102240 in words is "one hundred thirty-eight million, one hundred two thousand, two hundred forty".