137491200000 has 1728 divisors, whose sum is σ = 638779115520. Its totient is φ = 27648000000.

The previous prime is 137491199987. The next prime is 137491200001. The reversal of 137491200000 is 2194731.

137491200000 is a `hidden beast` number, since 1 + 374 + 91 + 200 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137491200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4435199985 + ... + 4435200015.

It is an arithmetic number, because the mean of its divisors is an integer number (369663840).

Almost surely, 2^137491200000 is an apocalyptic number.

137491200000 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 137491200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389557760).

137491200000 is an abundant number, since it is smaller than the sum of its proper divisors (501287915520).

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

137491200000 is an equidigital number, since it uses as much as digits as its factorization.

137491200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 137491200000 its reverse (2194731), we get a palindrome (137493394731).

The spelling of 137491200000 in words is "one hundred thirty-seven billion, four hundred ninety-one million, two hundred thousand".