137144473316928 has 2240 divisors, whose sum is σ = 546560001884160. Its totient is φ = 32966159155200.

The previous prime is 137144473316927. The next prime is 137144473316953. The reversal of 137144473316928 is 829613374441731.

137144473316928 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 447 + 3 + 3 + 169 + 28 = 666.

It is a super-2 number, since 2×137144473316928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137144473316927) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27012893526 + ... + 27012898602.

Almost surely, 2^{137144473316928} is an apocalyptic number.

137144473316928 is a gapful number since it is divisible by the number (18) 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 137144473316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273280000942080).

137144473316928 is an abundant number, since it is smaller than the sum of its proper divisors (409415528567232).

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

137144473316928 is a wasteful number, since it uses less digits than its factorization.

137144473316928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5227 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 137144473316928 in words is "one hundred thirty-seven trillion, one hundred forty-four billion, four hundred seventy-three million, three hundred sixteen thousand, nine hundred twenty-eight".