137814413088 has 192 divisors, whose sum is σ = 399100867200. Its totient is φ = 41292840960.

The previous prime is 137814413003. The next prime is 137814413101. The reversal of 137814413088 is 880314418731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60736818 + ... + 60739086.

It is an arithmetic number, because the mean of its divisors is an integer number (2078650350).

Almost surely, 2^137814413088 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 137814413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199550433600).

137814413088 is an abundant number, since it is smaller than the sum of its proper divisors (261286454112).

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

137814413088 is a wasteful number, since it uses less digits than its factorization.

137814413088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 137814413088 in words is "one hundred thirty-seven billion, eight hundred fourteen million, four hundred thirteen thousand, eighty-eight".