137140001280 has 240 divisors, whose sum is σ = 486541999944. Its totient is φ = 35678453760.

The previous prime is 137140001267. The next prime is 137140001281. The reversal of 137140001280 is 82100041731.

137140001280 is a `hidden beast` number, since 137 + 1 + 400 + 0 + 128 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119804592384 + 17335408896 = 346128^2 + 131664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (137140001281) 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 23 ways as a sum of consecutive naturals, for example, 872052 + ... + 1017228.

Almost surely, 2^137140001280 is an apocalyptic number.

137140001280 is a gapful number since it is divisible by the number (10) 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 137140001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243270999972).

137140001280 is an abundant number, since it is smaller than the sum of its proper divisors (349401998664).

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

137140001280 is a wasteful number, since it uses less digits than its factorization.

137140001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145247 (or 145228 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 137140001280 in words is "one hundred thirty-seven billion, one hundred forty million, one thousand, two hundred eighty".