137484234216 has 192 divisors, whose sum is σ = 427643798400. Its totient is φ = 39088203264.

The previous prime is 137484234193. The next prime is 137484234221. The reversal of 137484234216 is 612432484731.

137484234216 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 8 + 423 + 4 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137897430 + ... + 137898426.

It is an arithmetic number, because the mean of its divisors is an integer number (2227311450).

Almost surely, 2^137484234216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137484234216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213821899200).

137484234216 is an abundant number, since it is smaller than the sum of its proper divisors (290159564184).

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

137484234216 is a wasteful number, since it uses less digits than its factorization.

137484234216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 137484234216 in words is "one hundred thirty-seven billion, four hundred eighty-four million, two hundred thirty-four thousand, two hundred sixteen".