137680183872 has 336 divisors, whose sum is σ = 495907356672. Its totient is φ = 35478051840.

The previous prime is 137680183867. The next prime is 137680183903. The reversal of 137680183872 is 278381086731.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5620483 + ... + 5644925.

It is an arithmetic number, because the mean of its divisors is an integer number (1475914752).

Almost surely, 2^137680183872 is an apocalyptic number.

137680183872 is a gapful number since it is divisible by the number (12) 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 137680183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247953678336).

137680183872 is an abundant number, since it is smaller than the sum of its proper divisors (358227172800).

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

137680183872 is a wasteful number, since it uses less digits than its factorization.

137680183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24606 (or 24593 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 137680183872 in words is "one hundred thirty-seven billion, six hundred eighty million, one hundred eighty-three thousand, eight hundred seventy-two".