137042736 has 80 divisors (see below), whose sum is σ = 364905216. Its totient is φ = 44299008.

The previous prime is 137042713. The next prime is 137042747. The reversal of 137042736 is 637240731.

It is a super-2 number, since 2×137042736² = 37561422980731392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137042697 and 137042706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261771 + ... + 262293.

Almost surely, 2^137042736 is an apocalyptic number.

137042736 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 137042736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182452608).

137042736 is an abundant number, since it is smaller than the sum of its proper divisors (227862480).

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

137042736 is a wasteful number, since it uses less digits than its factorization.

137042736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 137042736 is about 11706.5253598154. The cubic root of 137042736 is about 515.5672713626.

The spelling of 137042736 in words is "one hundred thirty-seven million, forty-two thousand, seven hundred thirty-six".