137281536 has 270 divisors, whose sum is σ = 485606940. Its totient is φ = 37158912.

The previous prime is 137281519. The next prime is 137281541. The reversal of 137281536 is 635182731.

137281536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137281536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225335 + ... + 7225353.

Almost surely, 2^137281536 is an apocalyptic number.

137281536 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 137281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242803470).

137281536 is an abundant number, since it is smaller than the sum of its proper divisors (348325404).

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

137281536 is an equidigital number, since it uses as much as digits as its factorization.

137281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137281536 is about 11716.7203602373. The cubic root of 137281536 is about 515.8665600504.

The spelling of 137281536 in words is "one hundred thirty-seven million, two hundred eighty-one thousand, five hundred thirty-six".