138487861200 has 720 divisors, whose sum is σ = 511437742080. Its totient is φ = 31927633920.

The previous prime is 138487861159. The next prime is 138487861223. The reversal of 138487861200 is 2168784831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138487861200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489356259 + ... + 489356541.

Almost surely, 2^138487861200 is an apocalyptic number.

138487861200 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 138487861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255718871040).

138487861200 is an abundant number, since it is smaller than the sum of its proper divisors (372949880880).

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

138487861200 is a wasteful number, since it uses less digits than its factorization.

138487861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 138487861200 in words is "one hundred thirty-eight billion, four hundred eighty-seven million, eight hundred sixty-one thousand, two hundred".