137948868288 has 1568 divisors, whose sum is σ = 562884157440. Its totient is φ = 32450181120.

The previous prime is 137948868259. The next prime is 137948868289. The reversal of 137948868288 is 882868849731.

137948868288 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 488 + 68 + 2 + 88 = 666.

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 not an unprimeable number, because it can be changed into a prime (137948868289) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2935082281 + ... + 2935082327.

Almost surely, 2^137948868288 is an apocalyptic number.

137948868288 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 137948868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281442078720).

137948868288 is an abundant number, since it is smaller than the sum of its proper divisors (424935289152).

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

137948868288 is a wasteful number, since it uses less digits than its factorization.

137948868288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 137948868288 in words is "one hundred thirty-seven billion, nine hundred forty-eight million, eight hundred sixty-eight thousand, two hundred eighty-eight".