137389940000 has 120 divisors (see below), whose sum is σ = 338257832220. Its totient is φ = 54914048000.

The previous prime is 137389939997. The next prime is 137389940003. The reversal of 137389940000 is 49983731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137389939997) and next prime (137389940003).

It can be written as a sum of positive squares in 10 ways, for example, as 29062066576 + 108327873424 = 170476^2 + 329132^2 .

It is a super-2 number, since 2×137389940000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137389940003) 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 19 ways as a sum of consecutive naturals, for example, 52178684 + ... + 52181316.

Almost surely, 2^137389940000 is an apocalyptic number.

137389940000 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 137389940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169128916110).

137389940000 is an abundant number, since it is smaller than the sum of its proper divisors (200867892220).

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

137389940000 is an equidigital number, since it uses as much as digits as its factorization.

137389940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 137389940000 in words is "one hundred thirty-seven billion, three hundred eighty-nine million, nine hundred forty thousand".