137131270400 has 108 divisors (see below), whose sum is σ = 339580348800. Its totient is φ = 54826813440.

The previous prime is 137131270391. The next prime is 137131270403. The reversal of 137131270400 is 4072131731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137131270403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19702121 + ... + 19709079.

Almost surely, 2^137131270400 is an apocalyptic number.

137131270400 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 137131270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169790174400).

137131270400 is an abundant number, since it is smaller than the sum of its proper divisors (202449078400).

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

137131270400 is an equidigital number, since it uses as much as digits as its factorization.

137131270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 137131270400 in words is "one hundred thirty-seven billion, one hundred thirty-one million, two hundred seventy thousand, four hundred".