137241950137344 has 2112 divisors, whose sum is σ = 484337271914496. Its totient is φ = 38430044061696.

The previous prime is 137241950137339. The next prime is 137241950137349. The reversal of 137241950137344 is 443731059142731.

137241950137344 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 419 + 50 + 137 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (137241950137339) and next prime (137241950137349).

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

It is not an unprimeable number, because it can be changed into a prime (137241950137349) 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, 300310612764 + ... + 300310613220.

It is an arithmetic number, because the mean of its divisors is an integer number (229326359808).

Almost surely, 2^{137241950137344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137241950137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242168635957248).

137241950137344 is an abundant number, since it is smaller than the sum of its proper divisors (347095321777152).

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

137241950137344 is a wasteful number, since it uses less digits than its factorization.

137241950137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 137241950137344 in words is "one hundred thirty-seven trillion, two hundred forty-one billion, nine hundred fifty million, one hundred thirty-seven thousand, three hundred forty-four".