138765298500 has 384 divisors, whose sum is σ = 458860147200. Its totient is φ = 36198835200.

The previous prime is 138765298471. The next prime is 138765298519. The reversal of 138765298500 is 5892567831.

138765298500 is a `hidden beast` number, since 1 + 3 + 87 + 6 + 52 + 9 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136983994 + ... + 136985006.

It is an arithmetic number, because the mean of its divisors is an integer number (1194948300).

Almost surely, 2^138765298500 is an apocalyptic number.

138765298500 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 138765298500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229430073600).

138765298500 is an abundant number, since it is smaller than the sum of its proper divisors (320094848700).

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

138765298500 is a wasteful number, since it uses less digits than its factorization.

138765298500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 138765298500 in words is "one hundred thirty-eight billion, seven hundred sixty-five million, two hundred ninety-eight thousand, five hundred".