138052701540 has 240 divisors, whose sum is σ = 490938275520. Its totient is φ = 32193573120.

The previous prime is 138052701539. The next prime is 138052701551. The reversal of 138052701540 is 45107250831.

138052701540 is a `hidden beast` number, since 1 + 3 + 80 + 527 + 0 + 1 + 54 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 138052701495 and 138052701504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227635 + ... + 572645.

It is an arithmetic number, because the mean of its divisors is an integer number (2045576148).

Almost surely, 2^138052701540 is an apocalyptic number.

138052701540 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 138052701540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245469137760).

138052701540 is an abundant number, since it is smaller than the sum of its proper divisors (352885573980).

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

138052701540 is a wasteful number, since it uses less digits than its factorization.

138052701540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345064 (or 345053 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 138052701540 in words is "one hundred thirty-eight billion, fifty-two million, seven hundred one thousand, five hundred forty".