137254731949440 has 1536 divisors, whose sum is σ = 610410836736000. Its totient is φ = 28973593313280.

The previous prime is 137254731949343. The next prime is 137254731949441. The reversal of 137254731949440 is 44949137452731.

137254731949440 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 547 + 3 + 1 + 9 + 49 + 4 + 40 = 666.

It is a super-2 number, since 2×137254731949440² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (137254731949441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 564640725 + ... + 564883755.

It is an arithmetic number, because the mean of its divisors is an integer number (397402888500).

Almost surely, 2^{137254731949440} is an apocalyptic number.

137254731949440 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 137254731949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305205418368000).

137254731949440 is an abundant number, since it is smaller than the sum of its proper divisors (473156104786560).

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

137254731949440 is a wasteful number, since it uses less digits than its factorization.

137254731949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243125 (or 243100 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 137254731949440 in words is "one hundred thirty-seven trillion, two hundred fifty-four billion, seven hundred thirty-one million, nine hundred forty-nine thousand, four hundred forty".