137879629429248 has 960 divisors, whose sum is σ = 481918713978240. Its totient is φ = 38802264883200.

The previous prime is 137879629429231. The next prime is 137879629429253. The reversal of 137879629429248 is 842924926978731.

137879629429248 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 9 + 6 + 294 + 2 + 9 + 248 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50486864043 + ... + 50486866773.

It is an arithmetic number, because the mean of its divisors is an integer number (501998660394).

Almost surely, 2^{137879629429248} is an apocalyptic number.

137879629429248 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 137879629429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240959356989120).

137879629429248 is an abundant number, since it is smaller than the sum of its proper divisors (344039084548992).

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

137879629429248 is a wasteful number, since it uses less digits than its factorization.

137879629429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3837 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 137879629429248 in words is "one hundred thirty-seven trillion, eight hundred seventy-nine billion, six hundred twenty-nine million, four hundred twenty-nine thousand, two hundred forty-eight".