137026820736 has 384 divisors, whose sum is σ = 447646726800. Its totient is φ = 39933444096.

The previous prime is 137026820731. The next prime is 137026820741. The reversal of 137026820736 is 637028620731.

It is an interprime number because it is at equal distance from previous prime (137026820731) and next prime (137026820741).

It can be written as a sum of positive squares in 8 ways, for example, as 17902440000 + 119124380736 = 133800^2 + 345144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 137026820691 and 137026820700.

It is not an unprimeable number, because it can be changed into a prime (137026820731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23015136 + ... + 23021088.

Almost surely, 2^137026820736 is an apocalyptic number.

137026820736 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 137026820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223823363400).

137026820736 is an abundant number, since it is smaller than the sum of its proper divisors (310619906064).

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

137026820736 is a wasteful number, since it uses less digits than its factorization.

137026820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 137026820736 in words is "one hundred thirty-seven billion, twenty-six million, eight hundred twenty thousand, seven hundred thirty-six".