137468878848 has 672 divisors, whose sum is σ = 487922962176. Its totient is φ = 36436967424.

The previous prime is 137468878763. The next prime is 137468878913. The reversal of 137468878848 is 848878864731.

It is a happy number.

137468878848 is a `hidden beast` number, since 1 + 3 + 7 + 468 + 87 + 8 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×137468878848² (a number of 23 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439197540 + ... + 439197852.

Almost surely, 2^137468878848 is an apocalyptic number.

137468878848 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 137468878848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243961481088).

137468878848 is an abundant number, since it is smaller than the sum of its proper divisors (350454083328).

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

137468878848 is a wasteful number, since it uses less digits than its factorization.

137468878848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

The spelling of 137468878848 in words is "one hundred thirty-seven billion, four hundred sixty-eight million, eight hundred seventy-eight thousand, eight hundred forty-eight".