137946733344 has 576 divisors, whose sum is σ = 488973542400. Its totient is φ = 37681459200.

The previous prime is 137946733343. The next prime is 137946733363. The reversal of 137946733344 is 443337649731.

137946733344 is a `hidden beast` number, since 137 + 9 + 467 + 3 + 3 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (137946733343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116804434 + ... + 116805614.

It is an arithmetic number, because the mean of its divisors is an integer number (848912400).

Almost surely, 2^137946733344 is an apocalyptic number.

137946733344 is a gapful number since it is divisible by the number (14) 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 137946733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244486771200).

137946733344 is an abundant number, since it is smaller than the sum of its proper divisors (351026809056).

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

137946733344 is a wasteful number, since it uses less digits than its factorization.

137946733344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1313 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 137946733344 in words is "one hundred thirty-seven billion, nine hundred forty-six million, seven hundred thirty-three thousand, three hundred forty-four".