137274100000 has 144 divisors (see below), whose sum is σ = 340075858752. Its totient is φ = 54540000000.

The previous prime is 137274099973. The next prime is 137274100001. The reversal of 137274100000 is 1472731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (137274100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15095455 + ... + 15104545.

It is an arithmetic number, because the mean of its divisors is an integer number (2361637908).

Almost surely, 2^137274100000 is an apocalyptic number.

137274100000 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 137274100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170037929376).

137274100000 is an abundant number, since it is smaller than the sum of its proper divisors (202801758752).

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

137274100000 is an frugal number, since it uses more digits than its factorization.

137274100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

Adding to 137274100000 its reverse (1472731), we get a palindrome (137275572731).

The spelling of 137274100000 in words is "one hundred thirty-seven billion, two hundred seventy-four million, one hundred thousand".