137840246000 has 80 divisors (see below), whose sum is σ = 333426570048. Its totient is φ = 55114784000.

The previous prime is 137840245973. The next prime is 137840246053. The reversal of 137840246000 is 642048731.

137840246000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5794130 + ... + 5817870.

Almost surely, 2^137840246000 is an apocalyptic number.

137840246000 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 137840246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166713285024).

137840246000 is an abundant number, since it is smaller than the sum of its proper divisors (195586324048).

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

137840246000 is a wasteful number, since it uses less digits than its factorization.

137840246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26667 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 137840246000 in words is "one hundred thirty-seven billion, eight hundred forty million, two hundred forty-six thousand".