137261543331000 has 256 divisors, whose sum is σ = 467206698816000. Its totient is φ = 33274220928000.

The previous prime is 137261543330993. The next prime is 137261543331007. The reversal of 137261543331000 is 133345162731.

It is an interprime number because it is at equal distance from previous prime (137261543330993) and next prime (137261543331007).

It is a super-2 number, since 2×137261543331000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137261543331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137261543331007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1044153276 + ... + 1044284724.

It is an arithmetic number, because the mean of its divisors is an integer number (1825026167250).

Almost surely, 2^{137261543331000} is an apocalyptic number.

137261543331000 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 137261543331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233603349408000).

137261543331000 is an abundant number, since it is smaller than the sum of its proper divisors (329945155485000).

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

137261543331000 is a wasteful number, since it uses less digits than its factorization.

137261543331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163127 (or 163113 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

Adding to 137261543331000 its reverse (133345162731), we get a palindrome (137394888493731).

The spelling of 137261543331000 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, five hundred forty-three million, three hundred thirty-one thousand".