137965011030 has 576 divisors, whose sum is σ = 482395979520. Its totient is φ = 26976499200.

The previous prime is 137965010993. The next prime is 137965011031. The reversal of 137965011030 is 30110569731.

137965011030 is a `hidden beast` number, since 1 + 37 + 96 + 501 + 1 + 0 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137965011031) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166825477 + ... + 166826303.

It is an arithmetic number, because the mean of its divisors is an integer number (837493020).

Almost surely, 2^137965011030 is an apocalyptic number.

137965011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137965011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241197989760).

137965011030 is an abundant number, since it is smaller than the sum of its proper divisors (344430968490).

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

137965011030 is a wasteful number, since it uses less digits than its factorization.

137965011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 137965011030 in words is "one hundred thirty-seven billion, nine hundred sixty-five million, eleven thousand, thirty".