137984139000 has 192 divisors, whose sum is σ = 467073060480. Its totient is φ = 36741600000.

The previous prime is 137984138917. The next prime is 137984139047. The reversal of 137984139000 is 931489731.

137984139000 is a `hidden beast` number, since 137 + 98 + 41 + 390 + 0 + 0 = 666.

137984139000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6298065 + ... + 6319935.

It is an arithmetic number, because the mean of its divisors is an integer number (2432672190).

Almost surely, 2^137984139000 is an apocalyptic number.

137984139000 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 137984139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233536530240).

137984139000 is an abundant number, since it is smaller than the sum of its proper divisors (329088921480).

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

137984139000 is a wasteful number, since it uses less digits than its factorization.

137984139000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22599 (or 22582 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 137984139000 in words is "one hundred thirty-seven billion, nine hundred eighty-four million, one hundred thirty-nine thousand".