137746138320 has 360 divisors, whose sum is σ = 539739847296. Its totient is φ = 31482065664.

The previous prime is 137746138301. The next prime is 137746138333. The reversal of 137746138320 is 23831647731.

137746138320 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 613 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12095349 + ... + 12106731.

Almost surely, 2^137746138320 is an apocalyptic number.

137746138320 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 137746138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269869923648).

137746138320 is an abundant number, since it is smaller than the sum of its proper divisors (401993708976).

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

137746138320 is an equidigital number, since it uses as much as digits as its factorization.

137746138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 137746138320 in words is "one hundred thirty-seven billion, seven hundred forty-six million, one hundred thirty-eight thousand, three hundred twenty".