137748644167680 has 4080 divisors, whose sum is σ = 631913096352384. Its totient is φ = 28089589432320.

The previous prime is 137748644167661. The next prime is 137748644167691. The reversal of 137748644167680 is 86761446847731.

137748644167680 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 8 + 64 + 416 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 137748644167599 and 137748644167608.

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 239 ways as a sum of consecutive naturals, for example, 1287370506187 + ... + 1287370506293.

Almost surely, 2^{137748644167680} is an apocalyptic number.

137748644167680 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 137748644167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315956548176192).

137748644167680 is an abundant number, since it is smaller than the sum of its proper divisors (494164452184704).

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

137748644167680 is an equidigital number, since it uses as much as digits as its factorization.

137748644167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 137748644167680 in words is "one hundred thirty-seven trillion, seven hundred forty-eight billion, six hundred forty-four million, one hundred sixty-seven thousand, six hundred eighty".