137474058382848 has 480 divisors, whose sum is σ = 470306091340800. Its totient is φ = 38193124147200.

The previous prime is 137474058382831. The next prime is 137474058382849. The reversal of 137474058382848 is 848283850474731.

137474058382848 is a `hidden beast` number, since 1 + 37 + 4 + 7 + 4 + 0 + 583 + 8 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×137474058382848² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137474058382849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27552888 + ... + 32157576.

It is an arithmetic number, because the mean of its divisors is an integer number (979804356960).

Almost surely, 2^{137474058382848} is an apocalyptic number.

137474058382848 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 137474058382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235153045670400).

137474058382848 is an abundant number, since it is smaller than the sum of its proper divisors (332832032957952).

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

137474058382848 is a wasteful number, since it uses less digits than its factorization.

137474058382848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604774 (or 4604755 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 137474058382848 in words is "one hundred thirty-seven trillion, four hundred seventy-four billion, fifty-eight million, three hundred eighty-two thousand, eight hundred forty-eight".