137106963840 has 768 divisors, whose sum is σ = 578983334400. Its totient is φ = 26805534720.

The previous prime is 137106963817. The next prime is 137106963841. The reversal of 137106963840 is 48369601731.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137106963840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137106963841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42724156 + ... + 42727364.

It is an arithmetic number, because the mean of its divisors is an integer number (753884550).

Almost surely, 2^137106963840 is an apocalyptic number.

137106963840 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 137106963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289491667200).

137106963840 is an abundant number, since it is smaller than the sum of its proper divisors (441876370560).

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

137106963840 is a wasteful number, since it uses less digits than its factorization.

137106963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 137106963840 in words is "one hundred thirty-seven billion, one hundred six million, nine hundred sixty-three thousand, eight hundred forty".