137263583616 has 256 divisors, whose sum is σ = 401497067520. Its totient is φ = 41361408000.

The previous prime is 137263583591. The next prime is 137263583623. The reversal of 137263583616 is 616385362731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27721941 + ... + 27726891.

It is an arithmetic number, because the mean of its divisors is an integer number (1568347920).

Almost surely, 2^137263583616 is an apocalyptic number.

137263583616 is a gapful number since it is divisible by the number (16) 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 137263583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200748533760).

137263583616 is an abundant number, since it is smaller than the sum of its proper divisors (264233483904).

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

137263583616 is a wasteful number, since it uses less digits than its factorization.

137263583616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5141 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 137263583616 in words is "one hundred thirty-seven billion, two hundred sixty-three million, five hundred eighty-three thousand, six hundred sixteen".